Bessel basis with applications: N-dimensional isotropic polynomial oscillators

Date

1997-06-20

Author

Taşeli, Hasan

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The efficient technique of expanding the wave function into a Fourier-Bessel series to solve the radial Schrodinger equation with polynomial potentials, V(r) = Sigma(i=1)(K) v(2i)r(2i), in two dimensions is extended to N-dimensional space. It is shown that the spectra of two- and three-dimensional oscillators cover the spectra of the corresponding N-dimensional problems for all N. Extremely accurate numerical results are presented for illustrative purposes. The connection between the eigenvalues of the general anharmonic oscillators and the confinement potentials of the farm V(r) = -Z/r + Sigma(i=1)(K-1) c(i)r(i) is also discussed. (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/11511/38980

Journal

INTERNATIONAL JOURNAL OF QUANTUM CHEMISTRY

DOI

https://doi.org/10.1002/(sici)1097-461x(1997)63:5<935::aid-qua4>3.0.co;2-x

Collections

Department of Mathematics, Article

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Citation Formats

H. Taşeli, “Bessel basis with applications: N-dimensional isotropic polynomial oscillators,” INTERNATIONAL JOURNAL OF QUANTUM CHEMISTRY, pp. 935–947, 1997, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/38980.