Supersymmetric quantum mechanics with reflections

DOI10.1088/1751-8113/44/43/435301zbMath1230.81032arXiv1107.5844OpenAlexW2092124394MaRDI QIDQ3098123

Sarah Post, Alexei Zhedanov, Luc Vinet

Publication date: 17 November 2011

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

Full work available at URL: https://arxiv.org/abs/1107.5844

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Supersymmetry and quantum mechanics (81Q60) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45)

Related Items (15)

A representation of the Dunkl oscillator model on curved spaces: Factorization approach ⋮ Two-step asymptotics of scaled Dunkl processes ⋮ Dunkl-supersymmetric orthogonal functions associated with classical orthogonal polynomials ⋮ Computation of Green's functions through algebraic decomposition of operators ⋮ Green's functions for reducible functional differential equations ⋮ Inverse spectral problems for functional-differential operators with involution ⋮ On the gauge invariance of Wigner-Dunkl quantum mechanics in the presence of a constant magnetic field ⋮ Rationally-extended Dunkl oscillator on the line ⋮ Non-Hermitian inverted harmonic oscillator-type Hamiltonians generated from supersymmetry with reflections ⋮ Fractional supersymmetric quantum mechanics and lacunary Hermite polynomials ⋮ Non-Hermitian oscillator and $\cal {R}$R-deformed Heisenberg algebra ⋮ Supersymmetric quantum mechanics: Engineered hierarchies of integrable potentials and related orthogonal polynomials ⋮ ${\mathcal N}$-FOLD SUPERSYMMETRIC QUANTUM MECHANICS WITH REFLECTIONS ⋮ Cat-states in the framework of Wigner-Heisenberg algebra ⋮ Jordan algebras and orthogonal polynomials

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