SU(1,1) Coherent States For Position-Dependent Mass Singular Oscillators

Abstract

The Schroedinger equation for position-dependent mass singular oscillators is solved by means of the factorization method and point transformations. These systems share their spectrum with the conventional singular oscillator. Ladder operators are constructed to close the su(1,1) Lie algebra and the involved point transformations are shown to preserve the structure of the Barut-Girardello and Perelomov coherent states.

11 pages, 5 figures. This shortened version (includes new references) has been adapted for its publication in International Journal of Theoretical Physics

References in corpus (3)

• Coherent states for Hamiltonians generated by supersymmetry
• Coherent state of a nonlinear oscillator and its revival dynamics
• Coherent state of the effective mass harmonic oscillator

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• Coherent states of nonlinear oscillators with position-dependent mass: the temporal stability and fractional revivals
• Coherent and squeezed states: introductory review of basic notions, properties and generalizations
• Position-dependent mass systems: Classical and quantum pictures
• New SU(1, 1) Position-Dependent Effective Mass Coherent States for the Generalized Shifted Harmonic Oscillator
• Isospectral Hamiltonian for position-dependent mass for an arbitrary quantum system and coherent states
• Quantum and semi-classical aspects of confined systems with variable mass
• Nonstationary deformed singular oscillator: quantum invariants and the factorization method