Foundations of Physics

, Volume 19, Issue 12, pp 1441–1477 | Cite as

Quantum relativistic action at a distance

  • Donald C. Salisbury
  • Michael Pollot


A well-known relativistic action at a distance interaction of two unequal masses is altered so as to yield purely Newtonian radial forces with fixed particle rest masses in the system center-of-momentum inertial frame. Although particle masses experience no kinematic mass increase in this frame, speeds are naturally restricted to less than the speed of light. We derive a relation between the center-of-momentum frame total Newtonian energy and the composite rest mass. In a new proper time quantum formalism, we obtain an L2(R4 ⊗ R4, C) Hilbert space by varying individual particle rest masses. We propose the use of density operators, recognizing that the auxiliary proper time parameter is not an observable. The quantum formalism is applied to our altered version of the relativistic harmonic oscillator. Our generalized coherent states yield four-dimensional wave packets which follow the correct classical world lines. Appendices contain reviews of classical Hamiltonian reparametrization (incorporating our notion of manifest covariance), and a comparison of this work with the literature.


Wave Packet Coherent State Density Operator Proper Time Inertial Frame 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Plenum Publishing Corporation 1989

Authors and Affiliations

  • Donald C. Salisbury
    • 1
  • Michael Pollot
    • 2
  1. 1.Department of PhysicsAustin CollegeSherman
  2. 2.Department of PhysicsUniversity of TexasAustin

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