Concepedia

Completeness of the Dirac oscillator eigenfunctions

Radosław Szmytkowski, Marek Gruchowski

Journal of Physics A Mathematical and General · 2001 · 56 citations · 8 references

DOI

Concepts

Abstract

Completeness of the Dirac oscillator eigenfunctions is proved in one and three spatial dimensions. Proofs are based on standard properties of the Hermite and the generalized Laguerre polynomials. PACS numbers: 03.65.Pm, 02.30.Gp 1.

References

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The Dirac oscillator. A relativistic version of the Jaynes-Cummings model

Journal of Physics A Mathematical and General · 1999 · 98 citations · Full text

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Relativistic quantum mechanics of a Dirac oscillator

European Journal of Physics · 1995 · 66 citations · Full text

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