On the hyper-geometrization of relativistic phase-space formalism I

1968 ◽  
Vol 24 (2-3) ◽  
pp. 205-223 ◽  
Author(s):  
J. I. Horváth
Keyword(s):  
Phase Space ◽  
Space Formalism ◽  
Relativistic Phase

PROBLEMS WITH THE PATH-INTEGRAL DESCRIPTION OF THE TEMPORAL, LIGHT-CONE AND FOCK-SCHWINGER GAUGES

1992 ◽  
Vol 07 (03) ◽  
pp. 219-224 ◽  
Author(s):  
MARTIN LAVELLE ◽  
DAVID McMULLAN
Keyword(s):  
Phase Space ◽  
Path Integral ◽  
Light Cone ◽  
Space Formalism

Simple arguments are presented to show that the standard Faddeev-Popov formulations of the temporal, light-cone and Fock-Schwinger gauges are not unitary. We also demonstrate that the phase space formalism of these theories provide three counterexamples to the Fradkin-Vilkovisky theorem.

scholarly journals GEOMETRIC STRUCTURES OF THE CLASSICAL GENERAL RELATIVISTIC PHASE SPACE

2008 ◽  
Vol 05 (05) ◽  
pp. 699-754 ◽  
Author(s):  
JOSEF JANYŠKA ◽  
MARCO MODUGNO
Keyword(s):  
Electromagnetic Field ◽  
Phase Space ◽  
Relativistic Particle ◽  
Jet Space ◽  
Geometric Structures ◽  
Geometric Properties ◽  
Geometric Conditions ◽  
General Relativistic ◽  
Relativistic Phase

This paper is concerned with basic geometric properties of the phase space of a classical general relativistic particle, regarded as the 1st jet space of motions, i.e. as the 1st jet space of timelike 1-dimensional submanifolds of spacetime. This setting allows us to skip constraints. Our main goal is to determine the geometric conditions by which the Lorentz metric and a connection of the phase space yield contact and Jacobi structures. In particular, we specialize these conditions to the cases when the connection of the phase space is generated by the metric and an additional tensor. Indeed, the case generated by the metric and the electromagnetic field is included, as well.

scholarly journals Comment on ‘‘Nonlinear resonance and chaos in the relativistic phase space for driven nonlinear systems’’

1996 ◽  
Vol 53 (4) ◽  
pp. 4240-4241 ◽  
Author(s):  
D. G. Luchinsky ◽  
P. V. E. McClintock ◽  
S. M. Soskin ◽  
N. D. Stein ◽  
A. B. Neiman
Keyword(s):  
Phase Space ◽  
Nonlinear Systems ◽  
Nonlinear Resonance ◽  
Relativistic Phase
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