Publication: Duffin–Kemmer–Petiau oscillator with Snyder-de Sitter algebra
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AIP Publishing
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Abstract
We present an exact solution of the one-dimensional Bosonic oscillator for spin 1 and spin 0 particles with the Snyder-de Sitter model, where the energy eigenvalues and eigenfunctions are determined for both cases. The wave functions can be given in terms of Gegenbauer polynomials. We also comment on the thermodynamic properties of the system.
Description
Journal or Series
Journal of Mathematical Physics
ISSN
0022-2488
ISBN
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OPEN
Keywords
Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), Noncommutative geometry in quantum theory, Methods of noncommutative geometry in general relativity, Quantum groups (quantized enveloping algebras) and related deformations, Model quantum field theories, Quantum groups and related algebraic methods applied to problems in quantum theory, Commutation relations and statistics as related to quantum mechanics (general), Selfadjoint operator theory in quantum theory, including spectral analysis