Dirac oscillator with minimal lengths and free particle on AdS2 and S2

DOI10.1063/1.2804773zbMath1152.81598OpenAlexW1646635872MaRDI QIDQ3544521

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Publication date: 8 December 2008

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.2804773

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Quantum field theory on curved space or space-time backgrounds (81T20) Applications of hypergeometric functions (33C90)

Related Items

Quantum gravitational corrections to the real Klein-Gordon field in the presence of a minimal length, The shape invariance in \(S^2\) space with electromagnetic field, Exact solutions of the Duffin-Kemmer-Petiau equation with linear potential in the presence of a minimal length, The modified equation for spinless particles and superalgebra, The \(AdS_{4}\) gravitational perturbation and supersymmetry, A generalized bosonic oscillator in the presence of a minimal length, Factorization method in scalar field on AdS3 in spherical coordinates, Klein paradox for the bosonic equation in the presence of minimal length

Cites Work

• Supersymmetry and shape invariance in differential equations of mathematical physics.
• Uncertainty relation in quantum mechanics with quantum group symmetry
• THE MINIMAL LENGTH AND LARGE EXTRA DIMENSIONS
• SUPERSYMMETRY APPROACHES TO THE BOUND STATES OF THE GENERALIZED WOODS–SAXON POTENTIAL
• The Factorization Method