Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Journal of Mathematical Physics

Exact solutions of deformed Schrödinger equation with a class of non-central physical potentials

M. Chabab, A. El Batoul, Mustapha Oulne

Published Jun 1, 2015• 23 citations
Publisher

Abstract

In this paper, we present exact solutions of Schrödinger equation for a class of non-central physical potentials within the formalism of position-dependent effective mass. The energy eigenvalues and eigenfunctions of the bound-states for the Schrödinger equation are obtained analytically by means of asymptotic iteration method and easily calculated through a new generalized decomposition of the effective potential allowing easy separation of the coordinates. Our results are in excellent agreement with other works in the literature.

DOI
10.1063/1.4922940

Related papers

Exact solutions of Deformed Schrodinger Equation with a class of non central physical potentials

M. Chabab, A. El Batoul, Mustapha Oulne

In this paper we present exact solutions of Schrodinger equation (SE) for a class of non central physical potentials within the formalism of position-dependent effective mass. The energy eigenvalues and eigenfunctions of the bound-states for the Schrodinger equation are obtained analytically by means of asymptotic iteration method (AIM) and easily calculated through a new generalized decomposition of the effective potential allowing easy separation of the coordinates. Our results are in excellent agreement with other works in the literature.

arXiv:1506.06255•Jun 20, 2015•0 citations

Scattering states of position-dependent mass Schrödinger equation with non central potential

M. Chabab, A. El Batoul, HASSAN HASSANABADI +2 more

In this paper, we study the time-independent Schrödinger equation within the formalism of position dependent effective mass. For a generalized decomposition of the non-central effective potential, the deformed Schrödinger equation can be easily solved analytically through separation of variables. The energy eigenvalues and the normalization constant of the radial wave functions are obtained, as well as the scattering phase shifts.

arXiv:1610.08045•Oct 24, 2016•0 citations

Scattering states of the Schrödinger equation with a position-dependent-mass and a non-central potential

M. Chabab, A. El Batoul, Mustapha Oulne +2 more

In this paper, we study the time-independent Schr¨odinger equation within the formalism of a position-dependent effective mass. By using a generalized decomposition of a non-central effective potential, The deformed Schr¨odinger equation can be easily solved analytically through separation of variables. The energy eigenvalues and the normalization constant of the radial wave functions, as well as the scattering phase shifts are obtained.

Journal of the Korean Physical Society•Dec 1, 2016•1 citation

Coordinate Transformation and Exact Solutions of Schrödinger Equation with Position-Dependent Effective Mass

Ju Guo-Xing, Cai Chang-Ying, Xiang Yang +1 more

Using the coordinate transformation method, we solve the one-dimensional Schrödinger equation with position-dependent mass. The explicit expressions for the potentials, energy eigenvalues, and eigenfunctions of the systems are given. The eigenfunctions can be expressed in terms of the Jacobi, Hermite, and generalized Laguerre polynomials. All potentials for these solvable systems have an extra term V m , which is produced from the dependence of mass on the position, compared with those for the systems of constant mass. The properties of V m for several mass functions are discussed.

Communications in Theoretical Physics•Jun 1, 2007•13 citations

The coordinate transformation and the exact solutions of the Schrödinger equation with position-dependent effective mass

Ju Guo-Xing, Cai Chang-Ying, Xiang, Yang +1 more

Using the coordinate transformation method, we solve the one-dimensional Schrödinger equation with position-dependent mass(PDM). The explicit expressions for the potentials, energy eigenvalues and eigenfunctions of the systems are given. The eigenfunctions can be expressed in terms of the Jacobi, Hemite and generalized Laguerre polynomials. All potentials for these solvable systems have an extra term $V_m$ which produced from the dependence of mass on the coordinate, compared with that for the systems of constant mass. The properties of $V_m$ for several mass functions are discussed.

arXiv:quant-ph/0601004•Dec 31, 2005•1 citation

Bound State Solutions of Schrödinger Equation for Generalized Morse Potential with Position-Dependent Mass

Altuğ Arda, R. Sever

The effective mass one-dimensional Schrödinger equation for the generalized Morse potential is solved by using Nikiforov—Uvarov method. Energy eigenvalues and corresponding eigenfunctions are computed analytically. The results are also reduced to the constant mass case. Energy eigenvalues are computed numerically for some diatomic molecules. They are in agreement with the ones obtained before.

Communications in Theoretical Physics•Jul 1, 2011•22 citations
In this paper, we present exact solutions of Schrödinger equation for a class of non-central physical potentials within the formalism of position-dependent effective mass. The energy eigenvalues and eigenfunctions of the bound-states for the Schrödinger equation are obtained analytically by means of asymptotic iteration method and easily calculated through a new generalized decomposition of the effective potential allowing easy separation of the coordinates. Our results are in excellent agreement with other works in the literature.
In this paper we present exact solutions of Schrodinger equation (SE) for a class of non central physical potentials within the formalism of position-dependent effective mass. The energy eigenvalues and eigenfunctions of the bound-states for the Schrodinger equation are obtained analytically by means of asymptotic iteration method (AIM) and easily calculated through a new generalized decomposition of the effective potential allowing easy separation of the coordinates. Our results are in excellent agreement with other works in the literature.
Using the coordinate transformation method, we solve the one-dimensional Schrödinger equation with position-dependent mass. The explicit expressions for the potentials, energy eigenvalues, and eigenfunctions of the systems are given. The eigenfunctions can be expressed in terms of the Jacobi, Hermite, and generalized Laguerre polynomials. All potentials for these solvable systems have an extra term V m , which is produced from the dependence of mass on the position, compared with those for the systems of constant mass. The properties of V m for several mass functions are discussed.
Using the coordinate transformation method, we solve the one-dimensional Schrödinger equation with position-dependent mass(PDM). The explicit expressions for the potentials, energy eigenvalues and eigenfunctions of the systems are given. The eigenfunctions can be expressed in terms of the Jacobi, Hemite and generalized Laguerre polynomials. All potentials for these solvable systems have an extra term VmV_mVm​ which produced from the dependence of mass on the coordinate, compared with that for the systems of constant mass. The properties of VmV_mVm​ for several mass functions are discussed.