On the construction of coherent states of position dependent mass Schrödinger equation endowed with effective potential
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Publication:5249506
DOI10.1063/1.3374667zbMath1310.81054arXiv1003.2684OpenAlexW2094163368MaRDI QIDQ5249506
V. Chithiika Ruby, Murugaian Senthilvelan
Publication date: 6 May 2015
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1003.2684
Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Exactly and quasi-solvable systems arising in quantum theory (81U15) Coherent states (81R30) Special quantum systems, such as solvable systems (81Q80)
Related Items (13)
Exact solution and coherent states of an asymmetric oscillator with position-dependent mass ⋮ Generalized Laguerre polynomials with position-dependent effective mass visualized via Wigner’s distribution functions ⋮ Isospectral Hamiltonian for position-dependent mass for an arbitrary quantum system and coherent states ⋮ Quantum solvability of a general ordered position dependent mass system: Mathews-Lakshmanan oscillator ⋮ Reduced role of the wavefunctions' curvature of quantum potentials in non-standard quantum systems ⋮ Coherent States of Nonlinear Oscillators with Position-Dependent Mass: Temporal Stability and Fractional Revivals ⋮ Quantization of Hamiltonian systems with a position dependent mass: Killing vector fields and Noether momenta approach ⋮ The Wigner function of a semiconfined harmonic oscillator model with a position-dependent effective mass ⋮ κ-Deformed quantum and classical mechanics for a system with position-dependent effective mass ⋮ Position-Dependent Mass Systems: Classical and Quantum Pictures ⋮ Supersymmetric quantum mechanics and coherent states for a deformed oscillator with position-dependent effective mass ⋮ Coherent and Squeezed States: Introductory Review of Basic Notions, Properties, and Generalizations ⋮ An observation of quadratic algebra, dual family of nonlinear coherent states and their non-classical properties, in the generalized isotonic oscillator
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