TY - JOUR

T1 - Solutions of the quantum relativistic two-body bound state problem with invariant direct action potentials

AU - Arshansky, R. I.

AU - Horwitz, L. P.

N1 - 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.

PY - 1988/3/28

Y1 - 1988/3/28

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0042368757&partnerID=8YFLogxK

U2 - 10.1016/0375-9601(88)90893-6

DO - 10.1016/0375-9601(88)90893-6

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AN - SCOPUS:0042368757

SN - 0375-9601

VL - 128

SP - 123

EP - 128

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

IS - 3-4

ER -