Discrete series representations for $\mathfrak {sl}(2|1)$, Meixner polynomials and oscillator models

DOI10.1088/1751-8113/45/48/485201zbMath1278.81067arXiv1208.2536OpenAlexW3123563620MaRDI QIDQ4913273

E. I. Jafarov, Joris Van der Jeugt

Publication date: 5 April 2013

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

Full work available at URL: https://arxiv.org/abs/1208.2536

zbMATH Keywords

quantum oscillatordiscrete series representationsMeixner polynomialrepresentation of \(\mathfrak sl(2|1)\)

Mathematics Subject Classification ID

Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Applications of Lie (super)algebras to physics, etc. (17B81) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Alternative quantum mechanics (including hidden variables, etc.) (81Q65)

Related Items (3)

The oscillator model for the Lie superalgebra $\mathfrak {sh}(2|2)$sh(2|2) and Charlier polynomials ⋮ Existence of a pair of new recurrence relations for the Meixner-Pollaczek polynomials ⋮ Exact solution of the position-dependent effective mass and angular frequency Schrödinger equation: harmonic oscillator model with quantized confinement parameter

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