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

M. Chabab, A. El Batoul, Mustapha Oulne

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 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.

Journal of Mathematical PhysicsJun 1, 201523 citations

New exact solutions of the Schroedinger equation. 2

Anatoly Georgievich Meshkov, N.V. Sukhomlin, V. N. Shapovalov

Russian Physics JournalJan 1, 19770 citations

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.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:1506.06255Jun 20, 20150 citations

A General Approach for the Exact Solution of the Schrödinger Equation

C. Tezcan, R. Sever

arXiv:0807.2304International Journal of Theoretical PhysicsJul 25, 2008451 citations

A new class of analytic solutions of the two-state problem

C. E. Carroll, F. T. Hioe

A new class of solutions of the time-dependent Schrodinger equation is found for the two-state problem often encountered in quantum optics, magnetic resonance and atomic collisions. The authors use the Riemann-Papperitz differential equation to find exact solutions in terms of hypergeometric functions. They consider only cases in which the final occupation probabilities are elementary functions of the parameters of the model.

Journal of Physics A Mathematical and GeneralDec 1, 198650 citations

Exact solutions of the Schrödinger equation for zero energy

Jochen Pade

The European Physical Journal DMar 6, 20095 citations

A new class of exact solutions of the Schrödinger equation

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