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ISSN 1729-5254
For Issues (1-6), please contact
the editor at: info[AT]ejtp.com.
Volume
2, Issue 7 (August 2005)
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Number
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Articles Title
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Abstract
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1
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Application of Coadjoint Orbits in the Thermodynamics of
Non-Compact Manifolds.
V. V. Mikheyev; I.
V. Shirokov
Full text: Acrobat PDF
(197 KB)
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Method
of the solution of the main problem of homogeneous spaces thermodynamics
for non-compact spaces in the case of non-compact Lie groups is presented
in the article. The method is based on the method of coadjoint orbits. The
formula that allows efficiently evaluate heat kernel on non-compact spaces
is obtained. The method is illustrated by non-trivial example.
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2
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The Boundary
Conditions Geometry in Lattice-Ising Model
You-gang Feng
Full text: Acrobat PDF
(126 KB)
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We
found that the differential topology of the lattice-system Ising model
determines whether there can be the continuous phase transition, The
geometric topology of the space the lattice-system is embedded in
determines whether the system can become ordered. If the system becomes
ordered it may not admit the continuous phase transition. The spin-projection
orientations are strongly influenced by the geometric topology of the space
the lattice system is embedded in.
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3
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Simulation of
Ginger EPR Spectra Obtained by X-Irradiation: Quantum Approach
S. Laachir; M. Moussetad; R. Adhiri; A. Fahli; M. Aboulfatah;
M. Mikou
Full text: Acrobat PDF
(139 KB)
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The
ginger sample has been exposed to X-rays at cumulative doses. The
foodstuffs irradiation is used in particular to improve their hygienic
qualities and increase their shelf lives. This process has been approved by
various international organizations: FAO -- AIEA -- WHO. In the present work, we
propose to reproduce by simulation, based on a quantum approach, of the ESR
(Electron Spin Resonance) spectra. The semi-classical approach is valid for
a simple system, but not for a complex system such as an atom with
hyperfine structure. In this case a quantum approach, based on spin
Hamiltonian, is essential to interpret the ESR spectra. The main result is
that the simulated spectra are in good agreement with the experimental ones
obtained before and after irradiation.
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4
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Quantum AdS1+3
Black Holes with Effective Cosmological Constant
El-Nabulsi Ahmad Rami
Full text: Acrobat PDF
(249 KB)
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A
quantum AdS1+3 massive and massless black holes with effective
cosmological constant induced from non-minimal coupling and supergravities
arguments are constructed and discussed in details.
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Volume
2, Issue 8 (December 2005)
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Number
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Articles Title
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Abstract
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1
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Fractional Unstable Euclidean Universe.
El-Nabulsi Ahmad Rami
Full text: Acrobat PDF
(174 KB)
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Despite
common acceptance of Big Bang hypothesis among most cosmologists,
nonetheless there are criticisms from a small number of theorists partly
supported by astronomy observation suggesting that redshift data could not
always be attributed to cosmological expansion. In this paper, a new
approach to cosmology fractional calculus has been developed that we hope
will attract attention from astrophysicists and cosmologists because of the
way it challenges the conventional big bang framework.
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2
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Parametric
Relationships Among Some Phenomenological Non-Relativistic Hadronic
Potentials
Teik-Cheng Lim
Full text: Acrobat PDF
(153 KB)
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In
recent years, parametric relationships between interatomic potential energy
functions have been developed in the realm of molecular chemistry and
condensed matter physics. However, no parametric relationships have been
developed so far among intra-atomic potentials. As an extension of previous
works into the realm of intra-atomic potentials, we herein consider the
possibility that hadronic potentials can be interrelated via their
parameters. Hadronic potentials give quantitative description of interquark
energy in terms of interquark distance, hence understanding how each
potential function influences the theoretical modeling can be sought via
knowledge of interrelationship amongst the potentials parameters.
Phenomenological non-relativistic hadronic potentials are related amongst
the mixed-powerlaw potential themselves, and with the Logarithmic
potentials using calculus. Exact nonlinear relationships were obtained
between the parameters whereby the interquark distance is included as one
of the variables. It is also demonstrated that, when the interquark
distance in the parametric relationships is assigned a fixed value of
unity, the parametric relationships remain valid from the plotted potential
energy curves..
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3
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Non Linear
Assessment of Musical Consonance
SLluis Lligo˜na Trulla, Alessandro Giuliani, Giovanna
Zimatore, Alfredo Colosimo and Joseph P. Zbilut
Full text: Acrobat PDF
(326 KB)
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The
position of intervals and the degree of musical consonance can be
objectively explained by temporal series formed by mixing two pure sounds
covering an octave. This result is achieved by means of Recurrence
Quantification Analysis (RQA) without considering neither overtones nor
physiological hypotheses. The obtained prediction of a consonance can be
considered a novel solution to Galileo's conjecture on the nature of
consonance. It constitutes an objective link between musical performance
and listeners hearing activity..
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4
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Conditions
for the Generation of Causal Paradoxes from Superluminal Signals
Giuseppe Russo
Full text: Acrobat PDF
(203 KB)
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We
introduce a simple method to illustrate how the Lorentz transformation lead
to causal loop paradoxes when they are applied to superluminal velocities.
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Volume
3, Issue 9 (February 2006)
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Number
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Articles Title
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Abstract
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1
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Spinning of Particles in Schwarzschild-de-Sitter and
Schwarzschild-Anti-de-Sitter Space-Times with `Effective Cosmological
Constant'.
El-Nabulsi Ahmad Rami
Full text: Acrobat PDF
(132 KB)
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Spinning
of particles in SdS and SAdS space-times with effective cosmological
constant is discussed in details. It is shown that the equilibrium
conditions are independent of the spin of the test particles and are satisfied
only for particular conditions relating the Einstein's cosmological
constant with the ultra-light masses implemented in the theory from
supergravities arguments and non-minimal coupling.
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2
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How S-S' di Quark
Pairs Signify an Einstein Constant Dominated Cosmology, and Lead to New
Inflationary Cosmology Physics
A. W. Beckwith
Full text: Acrobat PDF
(335 KB)
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We
review the results of a model of how nucleation of a new universe occurs,
assuming a di quark identification for soliton-anti soliton constituent
parts of a scalar field. Initially, we employ a false vacuum potential
system; however, when cosmological expansion is dominated by the Einstein
cosmological constant at the end of chaotic inflation, the initial di quark
scalar field is not consistent w.r.t a semi classical consistency condition
we analyze as the potential changes to the chaotic inflationary potential
utilized by Guth. We use Scherrer's derivation of a sound speed being zero
during initial inflationary cosmology, and obtain a sound speed approaching
unity ~as the slope of the scalar field moves away from a thin wall
approximation. All this is to aid in a data reconstruction problem of how to
account for the initial origins of CMB due to dark matter since effective
field theories as presently constructed require a cut off value for
applicability of their potential structure. This is often at the cost of,
especially in early universe theoretical models, of clearly defined
baryogenesis, and of a well defined mechanism of phase transitions.
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3
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Vectorial Lorentz
Transformations
Jorge A. Franco R.
Full text: Acrobat PDF
(403 KB)
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We
have noticed in relativistic literature that the derivation of Lorentz
Transformations (LT) usually is presented by confining the moving system O'
to move along the X-axis, namely, as a particular case of a more general
movement. When this movement is generalized different transformations are
obtained (which is a contradiction by itself) and a hidden vectorial
characteristic of time is revealed. LT have been generalized in order to
solve some physical and mathematical inconsistencies, such as the
dissimilar manners (transversal, longitudinal) the particle's shape is
influenced by its velocity and LT's inconsistency with Maxwell equations
when in its derivation the pulse of light is sent perpendicular to the
displacement of the moving system O'. Unlike the canonical derivation of
LT, in the undertaken development of the generalized LT, assumptions were
not used. Practical applications of generalized Vectorial Lorentz
Transformations (VLT) were undertaken and as outcome a new definition of
Local Lorentz Transformations (LLT) of magnitudes appeared. As another
consequence, a characteristic and unique scaling Lorentz factor was
obtained for each magnitude Given this, a dimensional analysis based upon
these Lorentz factors came up. In addition, dynamical transformations were
obtained and a new definition of mass was found.
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4
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Lattice Dynamics of
Hydrogen Interstice Co_{0.92}Fe_{0.08}
C. Kalai Arasi, R. John Bosco Balaguru, S. Alfred Cecil
Raj, and N. Lawrence
Full text: Acrobat PDF
(465 KB)
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Lattice
dynamics of hydrogen interstice in the binary alloy Co_{0.92} Fe _{0.08}
has been carried out to calculate the phonon dispersions along the [100],
[110], [111] directions. The phonon density of states, variation of
specific heat capacity and Debye's temperature with temperature are also
calculated. A reasonably good agreement is found between the calculated and
other theoretical and experimental results. The mean square displacement
(MSD) of atoms surrounding the interstitial hydrogen atom is reported along
with the defect modes.
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5
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Petrov
classification of the conformal tensor
M. A. Acevedo M., M. Enciso-Aguilar, and J. Lopez-Bonilla
Full text: Acrobat PDF
(110 KB)
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We
exhibit a flux diagram in its tensorial and Newman-Penrose representations
for the Petrov classification.
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6
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On Inflation
Potentials in Randall-Sundrum Braneworld Model
M.Bennai, H.Chakir, and Z.Sakhi
Full text: Acrobat PDF
(168 KB)
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We
study the inflationary dynamics of the universe in the Randall-Sandrum
typeII Braneworld model. We consider both an inverse-power law and
exponential potentials and apply the Slow-Roll approximation in high energy
limit to derive analytical expression of relevant inflationary quantities.
An upper bound for the coupling constant was also obtained and a numerical
value of perturbation spectrum is calculated in good agreement with
observation.
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7
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Considerations
About The Anomalous Efficiency Of Particular Thermodynamic Cycles
Leonardo Chiatti
Full text: Acrobat PDF
(292 KB)
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Some years
ago Vignati (refs. 1, 2, 3) showed that, under some particular
circumstances (inter alia isobaric processes connected through internal
heat exchangers), the efficiency of an Ericsson cycle involving a real gas
can exceed the Carnot limit \eta_{C} , in contradiction with the second
principle of thermodynamics. However, the convergence of Vignati's algorithm,
giving the temperature difference between the intermediate heat exchangers,
has not yet been proved. In particular, it isn't clear, if the number of
intermediate heat exchangers infinitely increases, the condition of a total
(perfect) heat recovery may be asymptotically approximated. This remark is
relevant because the claimed anomalous efficiencies appear only in the
limit of a perfect heat recovery. Considering a suitable counterexample, we
prove that, in general, the residual heat discharged on the external
sources does not vanish in that limit, even when the isobars exchange the
same amount of heat. Therefore the violation of the second law inferred
from Vignati's calculation is merely apparent, being referred to a
situation which is not (in principle) physically realisable. The essentials
of the Vignati's argument are then applied to an Ericsson cycle involving
an ideal gas undergoing chemical reactions. Again, no contradiction arises
with the second principle.
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Volume
3, Issue 10 (April 2006), Majorana Issue (Editor: Ignazio Licata)
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Number
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Articles Title
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Abstract
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1
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The Scientific Work Of Ettore Majorana: An Introduction
Erasmo Recami
Full text: Acrobat
PDF (113 KB)
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A
Brief bibliography of the scientific work of Ettore Majorana has been
discussed.
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2
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On the Hamiltonian Form of Generalized Dirac
Equation for Fermions with Two Mass States
Sergey. I.
Kruglov
Full text: Acrobat
PDF (126 KB)
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Dynamical
and non-dynamical components of the 20-component wave function are
separated in the generalized Dirac equation of the first order, describing
fermions with spin 1/2 and two mass states. After the exclusion of the
non-dynamical components, we obtain the Hamiltonian Form of equations.
Minimal and non-minimal electromagnetic interactions of particles are
considered here.
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3
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Majorana Equation
and exotics: Higher Derivative Models, Anyons and Noncommutative Geometry
Mikhail S.
Plyushchay
Full text: Acrobat
PDF (199 KB)
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In 1932 Ettore Majorana proposed an infinite-component
relativistic wave equation for particles of arbitrary integer and
half-integer spin. In the late 80s and early 90s it was found that the
higher-derivative geometric particle models underlie the Majorana equation,
and that its (2+1)-dimensional analogue provides with a natural basis for
the description of relativistic anyons. We review these aspects and discuss
the relationship of the equation to the exotic planar Galilei symmetry and
noncommutative geometry. We also point out the relation of some Abelian
gauge field theories with Chern-Simons terms to the Landau problem in the
noncommutative plane from the perspective of the Majorana equation.
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4
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Wave Equations,
Renormalization and Meaning of the Planck's Mass: Some Qualitative
Considerations
Leonardo Chiatti
Full text: Acrobat
PDF (131 KB)
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The five-dimensional
version of the quantum relativistic Klein-Gordon wave equation is assumed
to be a more fundamental description for the dynamics of the single
particle without spin. The meaning of the renormalization procedure in QFT
and the Planck's mass one are briefly discussed from this point of view.
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5
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Nonlinear Field Equations and Solitons as
Particles
Attilio Maccari
Full text: Acrobat
PDF (346 KB)
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Profound
advances have recently interested nonlinear field theories and their exact
or approximate solutions. We review the last results and point out some
important unresolved questions. It is well known that quantum field
theories are based upon Fourier series and the identification of plane
waves with free particles. On the contrary, nonlinear field theories admit
the existence of coherent solutions (dromions, solitons and so on).
Moreover, one can construct lower dimensional chaotic patterns,
periodic-chaotic patterns, chaotic soliton and dromion patterns. In a
similar way, fractal dromion and lump patterns as well as stochastic
fractal excitations can appear in the solution. We discuss in some detail a
nonlinear Dirac field and a spontaneous symmetry breaking model that are
reduced by means of the asymptotic perturbation method to a system of
nonlinear evolution equations integrable via an appropriate change of
variables. Their coherent, chaotic and fractal solutions are examined in
some detail. Finally, we consider the possible identification of some types
of coherent solutions with extended particles along the de Broglie-Bohm
theory. However, the last findings suggest an inadequacy of the particle
concept that appears only as a particular case of nonlinear field theories
excitations.
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6
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The Quantum Character of Physical Fields.
Foundations of
Field Theories
Ludmila. I.
Petrova
Full text: Acrobat
PDF (161 KB)
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The
existing field theories are based on the properties of closed exterior
forms, which are invariant ones and correspond to conservation laws for
physical fields. Hence, to understand the foundations of field theories and
their unity, one has to know how such closed exterior forms are obtained.
In the present paper it is shown that closed exterior forms corresponding
to field theories are obtained from the equations modeling conservation
(balance) laws for material media. It has been developed the evolutionary
method that enables one to describe the process of obtaining closed exterior
forms. The process of obtaining closed exterior forms discloses the
mechanism of evolutionary processes in material media and shows that
material media generate, discretely, the physical structures, from which
the physical fields are formed. This justifies the quantum character of
field theories. On the other hand, this process demonstrates the connection
between field theories and the equations for material media and points to
the fact that the foundations of field theories must be conditioned by the
properties of material media. It is shown that the external and internal
symmetries of field theories are conditioned by the degrees of freedom of
material media. The classification parameter of physical fields and
interactions, that is, the parameter of the unified field theory, is
connected with the number of noncommutative balance conservation laws for
material media.
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7
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Relativistic
Causality and
Quasi -Orthomodular Algebras
Renato.Nobili
Full text: Acrobat
PDF (218 KB)
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The concept of
fractionability or decomposability in parts of a physical system has its
mathematical counterpart in the lattice--theoretic concept of
orthomodularity. Systems with a finite number of degrees of freedom can be
decomposed in different ways, corresponding to different groupings of the
degrees of freedom. The orthomodular structure of these simple systems is
trivially manifest. The problem then arises as to whether the same property
is shared by physical systems with an infinite number of degrees of
freedom, in particular by the quantum relativistic ones. The latter case
was approached several years ago by Haag and Schroer (1962; Haag, 1992) who
started from noting that the causally complete sets of Minkowski spacetime
form an orthomodular lattice and posed the question of whether the
subalgebras of local observables, with topological supports on such
subsets, form themselves a corresponding orthomodular lattice. Were it so, the
way would be paved to interpreting spacetime as an intrinsic property of a
local quantum field algebra. Surprisingly enough, however, the hoped
property does not hold for local algebras of free fields with
superselection rules. The possibility seems to be instead open if the local
currents that govern the superselection rules are driven by gauge fields.
Thus, in the framework of local quantum physics, the request for algebraic
orthomodularity seems to imply physical interactions! Despite its charm, however,
such a request appears plagued by ambiguities and criticities that make of
it an ill--posed problem. The proposers themselves, indeed, concluded that
the orthomodular correspondence hypothesis is too strong for having a
chance of being practicable. Thus, neither the idea was taken seriously by
the proposers nor further investigated by others up to a reasonable degree
of clarification. This paper is an attempt to re--formulate and well--pose
the problem. It will be shown that the idea is viable provided that the
algebra of local observables: (1) is considered all over the whole range of
its irreducible representations; (2) is widened with the addition of the
elements of a suitable intertwining group of automorphisms; (3) the
orthomodular correspondence requirement is modified to an extent sufficient
to impart a natural topological structure to the intertwined algebra of
observables so obtained. A novel scenario then emerges in which local
quantum physics appears to provide a general framework for non--perturbative
quantum field dynamics.
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8
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Lorentz Invariant Majorana Formulation of
Electrodynamics in the Clifford
Algebra Formalism
Tomislav Ivezic
Full text: Acrobat
PDF (143 KB)
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In this paper we present a new geometric
formulation (Clifford algebra formalism) of the field equations, which is
independent of the reference frame and of the chosen system of coordinates
in it. This formulation deals with the complex 1-vector \Psi =E-icB (i is
the unit imaginary), which is four-dimensional (4D) geometric
generalization of Majorana's complex 3D quantity \Psi }=E-icB. When the
sources are absent the field equations with the complex \Psi
become Dirac-like relativistic wave equations for the free photon.
In the frame of ``fiducial'' observers (the observers who measure fields
are at rest) and in the standard basis the component form of the field
equations with 4D \Psi reproduces
the component form of Majorana-Maxwell equations with 3D field \Psi . The
important differences between the approach with the 4D \Psi and that one with the 3D \Psi are
discussed.
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9
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"
Anticoherent " Spin States via
the Majorana Representation
Jason Zimba
Full text: Acrobat
PDF (400 KB)
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In
this article we define and exhibit '' anticoherent" spin states, which
are in a sense '' the opposite" of
the familiar coherent spin states.
Since the familiar coherent states are as "classical" as
spin states can be, the anticoherent states may turn out to be better
candidates for applications involving non-classical behaviors such as
quantum entanglement. Thanks to the Majorana representation of spinors as
2s-tuples of points on the Riemann sphere, classes of anticoherent states
are easy to find; the development of such examples also leads us into some
curious geometry involving the perfect solids.
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10
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Stretching the
Electron as Far as it Will Go
G. W. Semenoff
and P. Sodano
Full text: Acrobat
PDF (287 KB)
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Effects associated with the existence of
isolated zero modes of Majorana fermions are discussed. It is argued that
the quantization of this system necessarily contains highly extended
quantum states and that populating and depopulating such states by
interacting with the quantum system leads to long-ranged teleportation-like
processes. Also leads to spontaneous violation of fermion parity symmetry.
A quasi-realistic model consisting of a quantum wire embedded in a p-wave
superconductor is discussed as an explicit example of a physical system
with an isolated Majorana zero mode.
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11
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Why do Majorana
Neutrinos Run Faster than Dirac Neutrinos?
Zhi-zhong Xing
and He Zhang
Full text: Acrobat
PDF (380 KB)
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The
\tau-lepton dominance in the one-loop renormalization-group equations
(RGEs) of neutrinos sets a cute criterion to parametrize the 3x3 lepton
flavor mixing matrix U: its elements U_{3i} (for i=1,2,3) should be as
simple as possible. Such a novel parametrization is different from the ``standard"
one used in the literature and can lead to greatly simplified RGEs for
three mixing angles and the physical CP-violating phase(s), no matter
whether neutrinos are Dirac or Majorana particles. We show that the RGEs of
Dirac neutrinos are not identical with those of Majorana neutrinos even if
two Majorana CP-violating phases vanish. As the latter can keep vanishing
from the electroweak scale to the typical seesaw scale, it makes sense to
explore the similarities and differences between the RGE running effects of
Dirac and Majorana neutrinos. We conclude that Majorana neutrinos are in
general expected to run faster (i.e., more significantly) than Dirac
neutrinos.
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12
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Universe Without Singularities
A Group Approach to De Sitter Cosmology
Ignazio Licata
Full text: Acrobat
PDF (162 KB)
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In
the last years the traditional scenario of ``Big Bang'' has been deeply
modified by the study of the quantum features of the Universe evolution,
proposing again the problem of using ``local'' physical laws on cosmic
scale, with particular regard to the cosmological constant role. The
``group extention'' method shows that the De Sitter group univocally
generalizes the Poincaré group,
formally justifies the cosmological constant use and suggests a new
interpretation for Hartle-Hawking boundary conditions in Quantum Cosmology.
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13
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Majorana and the
Investigation of Infrared Spectra of
Ammonia
Elisabetta. Di
Grezia
Full text: Acrobat
PDF (169 KB)
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An
account is given on the first studies on the physics of ammonia, focusing
on the infrared spectra of that molecule. Relevant contributions from
several authors, in the years until 1932, are pointed out, discussing also
an unknown study by E.Majorana on this topic.
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14
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Exact Solution of
Majorana Equation via Heaviside Operational Ansatz
Valentino A.
Simpao
Full text: Acrobat
PDF (215 KB)
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In
context of a transformation between Majorana and Dirac wavefunctions, it
suffices to solve the related interactive Dirac problem and then apply the
transformation of variables on the Dirac wavefunction in order to obtain
the Majorana wavefunction of the given Majorana equation. Clearly, this
connection between solutions continues to hold if the free Majorana and
Dirac equations are each coupled to an external gauge field [e.g.,
Electromagnetism] via the minimum coupling prescription. Applying the
formal solution scheme Heaviside Operational Ansatz[heretofore, HOA] put
forward in [ EJTP 1 (2004), 10-16], provides an exact quadrature solution for
the massive minimum-coupled Majorana equation in terms of the solution of
the corresponding massive minimum-coupled Dirac equation.
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15
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A Logical Analysis
of Majorana’s Papers on Theoretical Physics
A. Drago and S.
Esposito
Full text: Acrobat
PDF (161 KB)
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We study two celebrated Majorana's papers
through a method of investigation which relies upon the recently recognized
distinction between classical logic and several kinds of non-classical
logics, i.e. the failure of the double negation law. This law fails when a
double negated sentence is not equivalent to the corresponding positive
sentence, owing to the lack of scientific evidence of the latter one. All
recognized double negated sentences inside the text of each paper are
listed; the mere sequence of such sentences giving the logical thread of
Majorana's arguing. This one is recognized to be of the Lagrangian kind,
which mixes logical arguing and mathematical calculation; i.e. the author
puts a fundamental problem which is solved by anticipating the mathematical
hypothesis able to solve it, and then by drawing from this hypothesis the
mathematical consequences in order to reach to desired result. Furthermore the rethoric of presentation
used by Majorana results to be a juridical one, owing to his style of
presenting the laws to which an ideal theoretical physicist has to conform
his mind in order to solve the problem at issue.
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16
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Four Variations on
Theoretical Physics by Ettore Majorana
Salvatore.
Esposito
Full text: Acrobat
PDF (219 KB)
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An
account is given of some topical unpublished work by Ettore Majorana,
revealing his very deep intuitions and skillfulness in Theoretical Physics.
The relevance of the quite unknown results obtained by him is pointed out
as well.
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17
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The Majorana Oscillator
Eliano Pessa
Full text: Acrobat
PDF (124 KB)
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At
present the expression ‘Majorana oscillator’ does not appear to be in use
in theoretical physics. However, the author of this paper heard it in the
Seventies, during private conversations with the late Prof. B.Touschek.
This little contribution tries to explore the possible meanings of this
expression and introduces a new field equation, generalizing the one
already introduced by Majorana himself, which could describe a hypothetical
‘Majorana oscillator’.
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18
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Scattering of an
\alpha Particle by a Radioactive Nucleus
Unpublished 1928
Ettore Majorana
Full text: Acrobat
PDF (166 KB)
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In the following we reproduce, translated
into English, a section of Volumetto II, a notebook written by Majorana in
1928 when he was still a Physics student at the University of Rome (see S.
Esposito, E. Majorana jr, A. van der Merwe and E. Recami (eds.) Ettore Majorana: Notes on Theoretical
Physics, Kluwer, New York, 2003). This study was performed by the author
when he was preparing his Thesis work on ``The Quantum Theory of Radioactive
Nuclei'' (unpublished), whose
supervisor was E. Fermi.
S.
Esposito
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19
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Comments on a Paper
by Majorana Concerning Elementary Particles
David. M. Fradkin
Full text: Acrobat
PDF (145 KB)
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An
early paper (1932) by Majorana, that has received but scant attention, is
reexamined in light of later developments. This pioneering paper constructs
a relativistically invariant theory of arbitrary spin particles, develops
and utilizes infinite dimensional representations of the homogeneous
Lorentz group, and provides a mass spectrum for elementary particles. The
relevance of Majorana’s approach and results to later and current research
is explained.
Reprinted with permission from the
AMERICAN JOURNAL OF PHYSICS, Volume 34, Issue 4, pp. 314-318. Copyright
1966, American Association of Physics Teachers
We
reproduce here the historical D. M. Fradkin 1966 paper whose role among the
physicists of high energy was decisive; since then espressions like "Majorana
mass", "Majorana spinors" and "Majorana neutrino"
have become usual. The paper is based upon the work Teoria di Particelle
con Momento Intrinseco Arbitrario, translated by Italiam from Edoardo
Amaldi.< | |