Dirac oscillator and nonrelativistic Snyder-de Sitter algebra

Journal Article · Thu Jan 15 00:00:00 EST 2015 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.4905085· OSTI ID:22403079

Stetsko, M. M., E-mail: [e-mail], E-mail: [e-mail] ^[1]

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1. Department of Theoretical Physics, Ivan Franko National University of Lviv, 12 Drahomanov Str., Lviv, UA-79005 (Ukraine)

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, Vol. 56, Issue 1; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ALGEBRA
COMMUTATION RELATIONS
DE SITTER GROUP
DE SITTER SPACE
ENERGY SPECTRA
OSCILLATORS
QUANTUM MECHANICS
SUPERSYMMETRY