International Journal of Theoretical Physics

, Volume 32, Issue 11, pp 2087–2098 | Cite as

Canonical proper time formulation of relativistic particle dynamics

  • Tepper Gill
  • James Lindesay


A canonical (contact) transformation is performed on the time variable (in extended phase space) to reexpress relativistic dynamics in terms of proper time, leaving the generalized coordinates and canonical momentum as functions of this time variable. The form of the energy functional conjugate to this time variable is seen to be similar to that of a nonrelativistic dynamics at all values of particle momenta. The formulation is explored for single- and multiparticle classical systems. The (form) invariance of the theory is determined by a group which results from a similarity action of the contact group on the Poincaré group. One advantage of this approach is that it overcomes the no-interaction difficulties introduced by standard methods.


Field Theory Phase Space Elementary Particle Quantum Field Theory Time Variable 
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Copyright information

© Plenum Publishing Corporation 1993

Authors and Affiliations

  • Tepper Gill
    • 1
  • James Lindesay
    • 2
  1. 1.Department of Electrical EngineeringHoward UniversityWashington, D.C.
  2. 2.Department of PhysicsHoward UniversityWashington, D.C.

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