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

R. I. Arshansky, L. P. Horwitz

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
Externally publishedYes

Bibliographical note

Funding Information:
* Supported in part by the US—Israel Binational Science Foundation, Jerusalem, Israel. ~ A preliminary version ofthis work was reported in “Proceedingsofthe Workshop on Constraint’s theory and relativistic dynamics” (World Scientific, Singapore, 1987). It was alsopresentedby L.P. Horwitz at the Workshop on Lorentztransformations and spacetime geometry, University of Maryland, College Park, Maryland, 27—30 May, 1987.

Funding

* Supported in part by the US—Israel Binational Science Foundation, Jerusalem, Israel. ~ A preliminary version ofthis work was reported in “Proceedingsofthe Workshop on Constraint’s theory and relativistic dynamics” (World Scientific, Singapore, 1987). It was alsopresentedby L.P. Horwitz at the Workshop on Lorentztransformations and spacetime geometry, University of Maryland, College Park, Maryland, 27—30 May, 1987.

FundersFunder number
US-Israel Binational Science Foundation

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