The Laguerre pseudospectral method for the radial Schrodinger equation

Date

2015-01-01

Author

ALICI, HAYDAR
Taşeli, Hasan

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By transforming dependent and independent variables, radial Schrodinger equation is converted into a form resembling the Laguerre differential equation. Therefore, energy eigenvalues and wavefunctions of M-dimensional radial Schrodinger equation with a wide range of isotropic potentials are obtained numerically by using Laguerre pseudospectral methods. Comparison with the results from literature shows that the method is highly competitive. (C) 2014 IMACS. Published by Elsevier B.V. All rights reserved.

Subject Keywords

Laguerre pseudospectral methods, Radial Schrodinger equation, Quantum mechanical potentials

URI

https://hdl.handle.net/11511/44235

Journal

APPLIED NUMERICAL MATHEMATICS

DOI

https://doi.org/10.1016/j.apnum.2014.09.001

Collections

Department of Mathematics, Article

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Citation Formats

H. ALICI and H. Taşeli, “The Laguerre pseudospectral method for the radial Schrodinger equation,” APPLIED NUMERICAL MATHEMATICS, pp. 87–99, 2015, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/44235.