Solutions of the quantum relativistic two-body bound state problem with invariant direct action potentials

R. I. Arshansky*, L. P. Horwitz

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

10 Scopus citations

Abstract

We solve the relativistic two-body bound state problem with O(3,1) invariant direct action potentials in the framework of a manifestly covariant canonical quantum theory. The solutions are representations of the Lorentz group in Gel'fand's principal series. The spectra and wave functions have the correct nonrelativistic limit. For the relativistic oscillator, we obtain a positive definite spectrum without subsidiary conditions or ghosts.

Original languageEnglish
Pages (from-to)123-128
Number of pages6
JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
Volume128
Issue number3-4
DOIs
StatePublished - 28 Mar 1988

Funding

FundersFunder number
US—Israel Binational Science Foundation

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