Scattering in constraint relativistic quantum dynamics

L. P. Horwitz, F. Rohrlich

Research output: Contribution to journalArticlepeer-review

22 Scopus citations


A relativistic scattering theory is developed for a covariant constraint dynamics with direct interparticle interactions. Both time-dependent and time-independent formulations are presented, the latter being a generalization of the Lippmann-Schwinger equation. For the two-body problem, we study the simple case of maximal symmetry which, equivalently, admits both single- and two-time formulations. The two-time formalism illustrates the main features of the general case of N3 particles. Perturbation expansions are given for the wave function and for the S matrix. Their structure is similar to those in quantum field theory corresponding to skeleton diagrams.

Original languageEnglish
Pages (from-to)3452-3474
Number of pages23
JournalPhysical Review D
Issue number12
StatePublished - 1982
Externally publishedYes


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