A Fourier-Bessel expansion for solving radial Schrodinger equation in two dimensions

Date

1997-02-15

Author

Taşeli, Hasan

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The spectrum of the two-dimensional Schrodinger equation for polynomial oscillators bounded by infinitely high potentials, where the eigenvalue problem is defined on a finite interval r is an element of [0, L), is variationally studied. The wave function is expanded into a Fourier-Bessel series, and matrix elements in terms of integrals involving Bessel functions are evaluated analytically. Numerical results presented accurate to 30 digits show that, by the time L approaches a critical value, the tow-lying state energies behave almost as if the potentials were unbounded. The method is applicable to multiwell oscillators as well. (C) 1997 John Wiley & Sons, Inc.

Subject Keywords

Physical and Theoretical Chemistry, Atomic and Molecular Physics, and Optics, Condensed Matter Physics

URI

https://hdl.handle.net/11511/38382

Journal

INTERNATIONAL JOURNAL OF QUANTUM CHEMISTRY

DOI

https://doi.org/10.1002/(sici)1097-461x(1997)61:5<759::aid-qua3>3.0.co;2-v

Collections

Department of Mathematics, Article

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Citation Formats

H. Taşeli, “A Fourier-Bessel expansion for solving radial Schrodinger equation in two dimensions,” INTERNATIONAL JOURNAL OF QUANTUM CHEMISTRY, pp. 759–768, 1997, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/38382.