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Dirac oscillator and nonrelativistic Snyder-de Sitter algebra

Journal Article · · Journal of Mathematical Physics
DOI:https://doi.org/10.1063/1.4905085· OSTI ID:22403079
Three dimensional Dirac oscillator was considered in space with deformed commutation relations known as Snyder-de Sitter algebra. Snyder-de Sitter commutation relations give rise to appearance of minimal uncertainties in position as well as in momentum. To derive energy spectrum and wavefunctions of the Dirac oscillator, supersymmetric quantum mechanics and shape invariance technique were applied.
OSTI ID:
22403079
Journal Information:
Journal of Mathematical Physics, Journal Name: Journal of Mathematical Physics Journal Issue: 1 Vol. 56; ISSN JMAPAQ; ISSN 0022-2488
Country of Publication:
United States
Language:
English

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