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arxiv: hep-th/9310010 · v1 · submitted 1993-10-01 · ✦ hep-th

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Exact solution of the two-dimensional Dirac oscillator

Victor M. Villalba
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classification ✦ hep-th
keywords diracenergyoscillatorspectrumarticlecompletecorrespondingdepends
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In the present article we have found the complete energy spectrum and the corresponding eigenfunctions of the Dirac oscillator in two spatial dimensions. We show that the energy spectrum depends on the spin of the Dirac particle.

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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Comment on "Quantum phase transitions of Dirac particles in a magnetized rotating curved background: Interplay of geometry, magnetization, and thermodynamics"

    gr-qc 2026-04 conditional novelty 4.0

    The energy spectra for Dirac particles in polar coordinates depend on both radial quantum number n ≥ 0 and angular quantum number m ≠ 0 after correcting minor errors in the original derivation.