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The Dirac oscillator

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Moshinsky, M, Szczepaniak, A·1989·Journal of Physics A: Mathematical and General
DOI 10.1088/0305-4470/22/17/002
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Abstract

Dirac's free particle equation originated in an attempt to express linearly the relativistic quadratic relation between energy and momentum. The authors introduce a Dirac equation which, besides the momentum, is also linear in the coordinates. They call it the Dirac oscillator because in the nonrelativistic limit it becomes a harmonic oscillator with a very strong spin-orbit coupling term. The eigenstates and eigenvalues of the Dirac oscillator can be obtained in an elementary fashion, with the degeneracy of the latter being quite different from that of the ordinary oscillator. They briefly mention the symmetry Lie algebra responsible for this degeneracy and the generalisation of the problem to many-particle systems.

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Metadata

Authors
Moshinsky, M., & Szczepaniak, A.
Venue
Journal of Physics A: Mathematical and General
Publisher
IOP Publishing
Published
1989-09-07
Volume
22
Issue
17
Pages
L817-L819
ISSN
  • 0305-4470 (ISSN-L)
  • 1361-6447
DOI
10.1088/0305-4470/22/17/002
OpenAlex
W2028785431
Cited by
732
References
0
FWCI
6.15
Type
journal article
Language
en
Open access
bronze

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CoChat. (2026). Citation check: The Dirac oscillator. https://app.cochat.ai/papers/10.1088/0305-4470/22/17/002
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Moshinsky, M., & Szczepaniak, A. (1989). The Dirac oscillator. Journal of Physics A: Mathematical and General. https://doi.org/10.1088/0305-4470/22/17/002

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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).

Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.