\(q\)-oscillator from the \(q\)-Hermite polynomial

DOI10.1016/j.physletb.2008.03.043zbMath1328.33003arXiv0710.2209OpenAlexW2125656433MaRDI QIDQ901674

Ryu Sasaki, Satoru Odake

Publication date: 12 January 2016

Published in: Physics Letters. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0710.2209

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45)

Related Items (8)

A \(q\)-deformation of the true-polyanalytic Bargmann transform ⋮ Super Rogers-Szegö polynomials associated with \(BC_{N}\) type of Polychronakos spin chains ⋮ Coherent states attached to the quantum disc algebra and their associated polynomials ⋮ Exactly and quasi-exactly solvable ‘discrete’ quantum mechanics ⋮ Orthogonal polynomials from Hermitian matrices ⋮ Perturbations around the zeros of classical orthogonal polynomials ⋮ Unified theory of exactly and quasiexactly solvable “discrete” quantum mechanics. I. Formalism ⋮ Casoratian identities for the Wilson and Askey-Wilson polynomials

Cites Work

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• Exact solution in the Heisenberg picture and annihilation-creation operators
• Equilibrium positions, shape invariance and Askey–Wilson polynomials
• On the q oscillator and the quantum algebra su_q(1,1)
• Exact Heisenberg operator solutions for multiparticle quantum mechanics
• Quasiexactly solvable difference equations
• More on the q-oscillator algebra and q-orthogonal polynomials
• Calogero-Sutherland-Moser Systems, Ruijsenaars-Schneider-van Diejen Systems and Orthogonal Polynomials

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