ALGEBRAIC APPROACH TO THE POSITION-DEPENDENT MASS SCHRÖDINGER EQUATION FOR A SINGULAR OSCILLATOR-Reference-Cited by-同舟云学术

ALGEBRAIC APPROACH TO THE POSITION-DEPENDENT MASS SCHRÖDINGER EQUATION FOR A SINGULAR OSCILLATOR

Published:2007-05-10 Issue:14 Volume:22 Page:1039-1045
ISSN:0217-7323
Container-title:Modern Physics Letters A
language:en
Short-container-title:Mod. Phys. Lett. A

Author:

DONG SHI-HAI¹,PEÑA J. J.²,PACHECO-GARCÍA C.¹,GARCÍA-RAVELO J.¹

Affiliation:

1. Departamento de Física, Esc. Sup. de Física y Matemáticas, Instituto Politécnico Nacional, Edificio 9, Unidad Profesional Adolfo López Mateos, 07738 México D. F., México

2. Universidad Autónoma Metropolitana-Azcapotzalco, CBI-Area de Física Atómica Molecular Aplicada, Av. San Pablo 180, 02200 México, D. F., México

Abstract

We construct a singular oscillator Hamiltonian with a position-dependent effective mass. We find that an su(1, 1) algebra is the hidden symmetry of this quantum system and the isospectral potentials V(x) depend on the different choices of the m(x). The complete solutions are also presented by using this Lie algebra.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Physics and Astronomy,Astronomy and Astrophysics,Nuclear and High Energy Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0217732307021470

Reference38 articles.

1. Solutions of the nonrelativistic wave equation with position-dependent effective mass

2. Nonrelativistic Green's Function for Systems with Position-Dependent Mass

3. Solution of the Dirac equation with position-dependent mass in the Coulomb field

Cited by 65 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Study of the fractional Schrödinger equation with Morse potential and the optical properties of quantum dots under the magnetic field;The European Physical Journal Plus;2024-06-17

2. Extended Ginzburg-Landau theory of superconductivity from generalized momentum operator and position-dependent mass;Physica B: Condensed Matter;2024-02

3. Dynamical symmetry of a semiconfined harmonic oscillator model with a position-dependent effective mass;Reports on Mathematical Physics;2023-10

4. Quantum carpets: efficiently probing fractional revivals in position-dependent mass systems;Communications in Theoretical Physics;2022-12-22

5. On the exactly-solvable semi-infinite quantum well of the non-rectangular step-harmonic profile;Quantum Studies: Mathematics and Foundations;2022-07-06