Effect of the Wigner–Dunkl algebra on the Dirac equation and Dirac harmonic oscillator

DOI10.1142/S0217732318501468zbMath1393.81019OpenAlexW2887584041WikidataQ129441027 ScholiaQ129441027MaRDI QIDQ4581353

S. Sargolzaeipor, Won-Sang Chung, Hassan Hassanabadi

Publication date: 17 August 2018

Published in: Modern Physics Letters A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0217732318501468

zbMATH Keywords

Dirac equationreflection symmetryDirac harmonic oscillatorWigner-Dunkl algebra

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items (8)

Ideal Bose gas and blackbody radiation in the Dunkl formalism ⋮ The condensation of ideal Bose gas in a gravitational field in the framework of Dunkl-statistic ⋮ Even and odd coherent states of Wigner algebra ⋮ Non-Hermitian inverted harmonic oscillator-type Hamiltonians generated from supersymmetry with reflections ⋮ Algebraic approach for the one-dimensional Dirac–Dunkl oscillator ⋮ Superstatistics of the Dunkl oscillator ⋮ Landau levels for the (2 + 1) Dunkl–Klein–Gordon oscillator ⋮ Dunkl–Maxwell equation and Dunkl-electrostatics in a spherical coordinate

Cites Work

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• A Note on the Quantum Rule of the Harmonic Oscillator

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