A supersymmetric Dirac oscillator with scalar coupling

A supersymmetric Dirac oscillator with scalar coupling

It is shown that a relativistic wave equation with a scalar coupling correctly describes the Dirac oscillator in the sense that in the nonrelativistic limit this results in the Schrödinger equation for the harmonic oscillator with an extra σ⋅r̂ term. It is demonstrated that this equation has built‐i...

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Veröffentlicht in:Journal of mathematical physics 1992-03, Vol.33 (3), p.1114-1117
Hauptverfasser: Dixit, V. V., Santhanam, T. S., Thacker, W. D.
Format: Artikel
Sprache:eng
Schlagworte:
Classical and quantum physics: mechanics and fields
Exact sciences and technology
Physics
Quantum mechanics
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Zusammenfassung:It is shown that a relativistic wave equation with a scalar coupling correctly describes the Dirac oscillator in the sense that in the nonrelativistic limit this results in the Schrödinger equation for the harmonic oscillator with an extra σ⋅r̂ term. It is demonstrated that this equation has built‐in supersymmetry, and that it guarantees the stability of the Dirac vacuum.
ISSN:0022-2488
1089-7658
DOI:10.1063/1.529775