NEW MANIFESTLY COVARIANT MODELS FOR RELATIVISTIC PARTICLES OF ARBITRARY SPIN

1991 ◽  
Vol 06 (05) ◽  
pp. 807-844 ◽  
Author(s):  
ROBERT MARNELIUS ◽  
ULF MÅRTENSSON
Keyword(s):  
Arbitrary Spin ◽  
Internal Variables ◽  
Spinning Particles ◽  
Massive Particles ◽  
Relativistic Particles

By means of a previously developed procedure for the derivation of manifestly Lorentz covariant models of spinning particles, we derive new classes of models in which the internal variables transform as Lorentz spinors. Models for massless and massive particles of arbitrary spin are given in which the internal variables are fermionic or bosonic spinors. Lagrangians and their local invariances are explicitly written down for all models.

Observables for Massive Relativistic Particles of Arbitrary Spin

1969 ◽  
Vol 10 (10) ◽  
pp. 1869-1874 ◽  
Author(s):  
J. A. de Azcárraga ◽  
L. Oliver
Keyword(s):  
Arbitrary Spin ◽  
Relativistic Particles

BRST quantization of free massless relativistic particles of arbitrary spin

1989 ◽  
Vol 321 (1) ◽  
pp. 185-206 ◽  
Author(s):  
Robert Marnelius ◽  
Ulf Mårtensson
Keyword(s):  
Brst Quantization ◽  
Arbitrary Spin ◽  
Relativistic Particles

scholarly journals EXTENSION OF THE SHIRAFUJI MODEL FOR MASSIVE PARTICLES WITH SPIN

2006 ◽  
Vol 21 (19n20) ◽  
pp. 4137-4160 ◽  
Author(s):  
SERGEY FEDORUK ◽  
ANDRZEJ FRYDRYSZAK ◽  
JERZY LUKIERSKI ◽  
CÈSAR MIQUEL-ESPANYA
Keyword(s):  
Electric Charge ◽  
Degrees Of Freedom ◽  
Twistor Space ◽  
Space Time ◽  
Particle Model ◽  
Intermediate Step ◽  
Time Coordinate ◽  
Massive Particles ◽  
Relativistic Particles ◽  
Primary Space

We extend the Shirafuji model for massless particles with primary space–time coordinates and composite four-momenta to a model for massive particles with spin and electric charge. The primary variables in the model are the space–time four-vector, four scalars describing spin and charge degrees of freedom as well as a pair of Weyl spinors. The geometric description proposed in this paper provides an intermediate step between the free purely twistorial model in two-twistor space in which both space–time and four-momenta vectors are composite, and the standard particle model, where both space–time and four-momenta vectors are elementary. We quantize the model and find explicitly the first-quantized wave functions describing relativistic particles with mass, spin and electric charge. The space–time coordinates in the model are not commutative; this leads to a wave function that depends only on one covariant projection of the space–time four-vector (covariantized time coordinate) defining plane wave solutions.

scholarly journals Space-Like Particle Production: an Interpretation Based on the Majorana Equation

2016 ◽  
Author(s):  
Luca Nanni
Keyword(s):  
Quantum Mechanics ◽  
Particle Production ◽  
Relativistic Quantum ◽  
Arbitrary Spin ◽  
Relativistic Quantum Mechanics ◽  
Kinematic Constraints ◽  
Massive Particles ◽  
Ordinary Particle

This study reconsiders the decay of an ordinary particle in bradyons, tachyons and luxons in the field of the relativistic quantum mechanics. Lemke already investigated this from the perspective of covariant kinematics. Since the decay involves both space-like and time-like particles, the study uses the Majorana equation for particles with an arbitrary spin. The equation describes the tachyonic and bradyonic realms of massive particles, and approaches the problem of how space-like particles might develop. This method confirms the kinematic constraints that Lemke’s theory provided and proves that some possible decays are more favourable than others are.

Zur Beschreibung relativistischer Teilchen höheren Spins im elektromagnetischen Feld / The Description of Relativistic Particles with Arbitrary Spin in the Electromagnetic Field,

1972 ◽  
Vol 27 (2) ◽  
pp. 339-362
Author(s):  
Wolfgang Ulrici
Keyword(s):  
Electromagnetic Field ◽  
Wave Equation ◽  
Center Of Mass ◽  
Arbitrary Spin ◽  
Canonical Representation ◽  
Mass Motion ◽  
Homogeneous Electromagnetic Field ◽  
Spinor Representations ◽  
Special Case ◽  
Relativistic Particles

AbstractStarting with the equations of the center-of-mass motion and spin motion of a particle in a homogeneous electromagnetic field, we derive the Hamiltonian and the wave equation of a relativistic particle with arbitrary spin and arbitrary magnetic moment in this field. We change from the canonical representation to spinor representations with convenient transformation properties, and we find a form of the wave equation which, for the special case of spin 1/2, coincides with the Dirac equation (in the form first given by Feynman). The problems and limitations of this derivation are extensively discussed.

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