Ladder operators and coherent states for multi-step supersymmetric rational extensions of the truncated oscillator

DOI10.1063/1.5091953zbMath1414.81121arXiv1811.09338OpenAlexW3104032557MaRDI QIDQ5379487

Ian Marquette, Véronique Hussin, Scott E. Hoffmann, Yao-Zhong Zhang

Publication date: 12 June 2019

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

Full work available at URL: https://arxiv.org/abs/1811.09338

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) General topics in linear spectral theory for PDEs (35P05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Coherent states (81R30) Supersymmetry and quantum mechanics (81Q60) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30) Operator algebra methods applied to problems in quantum theory (81R15) Quantum coherence, entanglement, quantum correlations (81P40) PDEs on Heisenberg groups, Lie groups, Carnot groups, etc. (35R03)

Related Items (6)

Time-dependent rational extensions of the parametric oscillator: quantum invariants and the factorization method ⋮ Supersymmetry and shape invariance of exceptional orthogonal polynomials ⋮ Extended coupled SUSY, pseudo-bosons and weak squeezed states ⋮ Generalized coherent states of exceptional Scarf-I potential: Their spatio-temporal and statistical properties ⋮ Coupled Susy, pseudo-bosons and a deformed su(1,1) Lie algebra ⋮ Ladder operators and coherent states for the Rosen–Morse system and its rational extensions

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