Coherent states for the nonlinear harmonic oscillator

DOI10.1063/1.4729757zbMath1276.81074arXiv1111.7129OpenAlexW1596906179MaRDI QIDQ2865447

Subir Ghosh

Publication date: 29 November 2013

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

Full work available at URL: https://arxiv.org/abs/1111.7129

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) NLS equations (nonlinear Schrödinger equations) (35Q55) Coherent states (81R30) Commutation relations and statistics as related to quantum mechanics (general) (81S05)

Related Items (6)

Algebraic solutions of shape-invariant position-dependent effective mass systems ⋮ Comment on “Coherent states for the nonlinear harmonic oscillator” [J. Math. Phys. 53, 062104 (2012)] ⋮ Coherent States of Nonlinear Oscillators with Position-Dependent Mass: Temporal Stability and Fractional Revivals ⋮ Coherent states of position-dependent mass trapped in an infinite square well ⋮ Generalized ladder operators for the perturbed harmonic oscillator ⋮ Coherent states for nonlinear harmonic oscillator and some of its properties

Cites Work

• Quantum mechanics in de Sitter space
• One-dimensional model of a quantum nonlinear harmonic oscillator
• Temporally stable coherent states for infinite well and Pöschl–Teller potentials
• Coherent state of a nonlinear oscillator and its revival dynamics
• Continuous-Representation Theory. I. Postulates of Continuous-Representation Theory

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