COMPLEXIFIER VERSUS FACTORIZATION AND DEFORMATION METHODS FOR GENERATION OF COHERENT STATES OF A 1D NLHO I: MATHEMATICAL CONSTRUCTION

DOI10.1142/S0219887813500564zbMath1278.81111arXiv1302.2853MaRDI QIDQ2865244

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Publication date: 29 November 2013

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1302.2853

zbMATH Keywords

coherent statesnonlinear harmonic oscillatorcomplexifier

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Exactly and quasi-solvable systems arising in quantum theory (81U15) Coherent states (81R30)

Related Items (2)

Complexifier method for generation of coherent states of nonlinear harmonic oscillator ⋮ Coherent states for nonlinear harmonic oscillator and some of its properties

Uses Software

• DLMF

Cites Work

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• One-dimensional model of a quantum nonlinear harmonic oscillator
• The construction of some important classes of generalized coherent states: the nonlinear coherent states method
• Reality conditions inducing transforms for quantum gauge field theory and quantum gravity
• Exact solution of the Schrodinger equation for a potential well with a barrier and other potentials

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