On the extreme relativistic limit of arbitrary spin wave equations

1973 ◽  
Vol 7 (5) ◽  
pp. 311-318 ◽  
Author(s):  
G. Alagar Ramanujam
Keyword(s):  
Spin Wave ◽  
Wave Equations ◽  
Arbitrary Spin ◽  
Relativistic Limit

Arbitrary‐Spin Wave Equations and Lorentz Invariance

1971 ◽  
Vol 12 (5) ◽  
pp. 835-840 ◽  
Author(s):  
M. Seetharaman ◽  
J. Jayaraman ◽  
P. M. Mathews
Keyword(s):  
Spin Wave ◽  
Wave Equations ◽  
Lorentz Invariance ◽  
Arbitrary Spin

scholarly journals Propagation of shock waves in interacting higher spin wave equations

1973 ◽  
Vol 30 (3) ◽  
pp. 201-209 ◽  
Author(s):  
J. Madore ◽  
W. Tait
Keyword(s):  
Shock Waves ◽  
Spin Wave ◽  
Wave Equations ◽  
Higher Spin

PARADOXICAL KINEMATIC ACAUSALITY IN WEINBERG’S EQUATIONS FOR MASSLESS PARTICLES OF ARBITRARY SPIN

1992 ◽  
Vol 07 (22) ◽  
pp. 1967-1974 ◽  
Author(s):  
D.V. AHLUWALIA ◽  
D.J. ERNST
Keyword(s):  
Wave Equations ◽  
Classical Group ◽  
Arbitrary Spin ◽  
The Other ◽  
Finite Mass ◽  
Massless Particles ◽  
Paradoxical Situation ◽  
Other Hand ◽  
Free Particles

Weinberg’s equations for massless free particles of arbitrary spin are found to have acausal solutions. On the other hand, the m→0 limit of Joos-Weinberg’s finite-mass wave equations satisfied by (j, 0)⊕(0, j) j) covariant spinors are free from all kinematic acausality. This paradoxical situation is resolved and corrected by carefully studying the transition from the classical group theoretical arguments to quantum mechanically interpreted equations.

SPIN DEPENDENCE OF THE AHARONOV—BOHM EFFECT

1991 ◽  
Vol 06 (18) ◽  
pp. 3119-3149 ◽  
Author(s):  
C.R. HAGEN
Keyword(s):  
Wave Equations ◽  
Virial Coefficient ◽  
Arbitrary Spin ◽  
Relativistic Wave Equation ◽  
Spin Dependence ◽  
Polarized Beams ◽  
Bohm Effect ◽  
Spinless Case ◽  
Aharonov Bohm ◽  
Covariant Field

The problem of the proper inclusion of spin in Aharonov—Bohm scattering is considered. It is proposed that this should be accomplished by imposing the requirement that all singularities arising from the presence of spin in the associated wave equations be interpreted as limits of physically realizable flux distributions. This leads to results which confirm the usual cross section in the spinless case but imply nontrivial modifications for the scattering of a polarized spin one-half beam. By applying the technique to a calculation of the virial coefficient for a collection of flux carrying spin one-half particles, some severe obstacles to conventional views of the flux as a parameter which interpolates between bosonic and fermionic statistics are shown to occur. Although similar results for the scattering of arbitrary spin particles obtain in the Galilean limit, it is found that when spin one is considered in the context of a relativistic wave equation the singularity structure is too pathological to yield a consistent interpretation. The exact equivalence of the spin one-half Aharonov-Bohm effect to the Aharonov-Casher effect is also demonstrated and corresponding results for polarized beams are presented. Finally, it is shown that the Aharonov-Bohm effect for arbitrary spin in the Galilean limit is the exact solution in the two-particle sector of a Galilean covariant field theory.

scholarly journals A GEOMETRIC MODEL OF THE ARBITRARY SPIN MASSIVE PARTICLE

1995 ◽  
Vol 10 (10) ◽  
pp. 1529-1552 ◽  
Author(s):  
S.M. KUZENKO ◽  
S.L. LYAKHOVICH ◽  
A.YU. SEGAL
Keyword(s):  
Wave Equations ◽  
Geometric Model ◽  
Canonical Quantization ◽  
Massive Particle ◽  
Arbitrary Spin ◽  
Dimensional Sphere ◽  
Classical Level ◽  
Gauge Transformations ◽  
Massive Spin ◽  
Casimir Operators

A new model of the relativistic massive particle with arbitrary spin [the (m, s) particle] is suggested. The configuration space of the model is the product of Minkowski space and a two-dimensional sphere: ℳ6=ℝ3, 1×S2. The system describes Zitterbevegung at the classical level. Together with explicitly realized Poincare symmetry, the action functional turns out to be invariant under two types of gauge transformations having their origin in the presence of two Abelian first class constraints in the Hamilton formalism. These constraints correspond to strong conservation for the phase space counterparts of the Casimir operators of the Poincaré group. Canonical quantization of the model leads to equations on the wave functions which prove to be equivalent to the relativistic wave equations for the massive spin s field.

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