Exact Solutions of Schrödinger Equation for the Position-Dependent Effective Mass Harmonic Oscillator

DOI10.1088/0253-6102/62/6/03zbMath1308.81072OpenAlexW2086725987MaRDI QIDQ4983241

Naila Amir, Shahid Iqbal

Publication date: 25 March 2015

Published in: Communications in Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0253-6102/62/6/03

zbMATH Keywords

Schrödinger equationnonlinear harmonic oscillatormodified Hermite polynomialsposition-dependent effective mass system

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05)

Related Items (9)

Properties of quasi-oscillator in position-dependent mass formalism ⋮ Algebraic solutions of shape-invariant position-dependent effective mass systems ⋮ Effective mass of the discrete values as a hidden feature of the one-dimensional harmonic oscillator model: Exact solution of the Schrödinger equation with a mass varying by position ⋮ Coherent States of Nonlinear Oscillators with Position-Dependent Mass: Temporal Stability and Fractional Revivals ⋮ Quantum heat engine with level degeneracy for oscillator-shaped potential well ⋮ The Wigner function of a semiconfined harmonic oscillator model with a position-dependent effective mass ⋮ Coherent states of position-dependent mass trapped in an infinite square well ⋮ Coherent states for nonlinear harmonic oscillator and some of its properties ⋮ Exact solution of the position-dependent effective mass and angular frequency Schrödinger equation: harmonic oscillator model with quantized confinement parameter

This page was built for publication: Exact Solutions of Schrödinger Equation for the Position-Dependent Effective Mass Harmonic Oscillator