A Solvable Composite System in Relativistic Quantum Mechanics | Zendy

Y. Munakata | Zendy; T. Ino | Zendy; F. Nagamura | Zendy

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A Solvable Composite System in Relativistic Quantum Mechanics

Author(s) -

Y. Munakata,

T. Ino,

F. Nagamura

Publication year - 1988

Publication title -

progress of theoretical physics

Language(s) - English

Resource type - Journals

eISSN - 1347-4081

pISSN - 0033-068X

DOI - 10.1143/ptp.79.1404

Subject(s) - physics , covariant transformation , bound state , dirac equation , mathematical physics , dirac delta function , quantum mechanics , eigenvalues and eigenvectors , dimension (graph theory) , pure mathematics , mathematics

The solvable two·body model in one space dimension proposed by GlOckle, Nogami and Fukui is reexamined. We find that their model is rewritten in a manifestly covariant form of Bethe-Salpeter equation with the Fermi-type interaction, provided that the single-electron-theoretical treatment is adopted. Owing to the ambiguities in the Dirac equation with delta function potential, we get eigenvalues for the mass of composite system different from theirs. We also treat the same model positron-theoreticalIy and find that alI the bound states in the single-electron-theoretical treatment disappear because of the pair effects to the delta function potential.

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