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

1997-02-15
Taşeli, Hasan
Zafer, A
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.

Citation Formats
H. Taşeli and A. Zafer, “A Fourier-Bessel expansion for solving radial Schrodinger equation in two dimensions,” INTERNATIONAL JOURNAL OF QUANTUM CHEMISTRY, vol. 61, no. 5, pp. 759–768, 1997, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/38382.