Coherent states for ladder operators of general order related to exceptional orthogonal polynomials

DOI10.1088/1751-8121/aacb3bzbMath1397.81083arXiv1803.01318OpenAlexW3103883854WikidataQ57999085 ScholiaQ57999085MaRDI QIDQ4689452

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

Publication date: 16 October 2018

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

Full work available at URL: https://arxiv.org/abs/1803.01318

zbMATH Keywords

coherent statessupersymmetric quantum mechanicsexceptional orthogonal polynomialsrational extensions of the harmonic oscillator

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Coherent states (81R30) Supersymmetry and quantum mechanics (81Q60) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30) Analysis of variance and covariance (ANOVA) (62J10) Quantum coherence, entanglement, quantum correlations (81P40)

Related Items (7)

Convergence rates of exceptional zeros of exceptional orthogonal polynomials ⋮ Rationally extended many-body truncated Calogero-Sutherland model ⋮ Ladder operators and coherent states for multi-step supersymmetric rational extensions of the truncated oscillator ⋮ Coherent and Squeezed States: Introductory Review of Basic Notions, Properties, and Generalizations ⋮ Polynomial algebras of superintegrable systems separating in Cartesian coordinates from higher order ladder operators ⋮ Ladder Operators and Rational Extensions ⋮ Generalized coherent states of exceptional Scarf-I potential: Their spatio-temporal and statistical properties

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