An alternative series solution to the isotropic quartic oscillator in N dimensions

Date

1996-01-01

Author

Taşeli, Hasan

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The series solution of the N-dimensional isotropic quartic oscillator weighted by an appropriate function which exhibits the correct asymptotic behavior of the wave function is presented. The numerical performance of the solution in Bill's determinant picture is excellent, and yields the energy spectrum of the system to any desired accuracy for the full range of the coupling constant. Furthermore, it converges to the well-known exact solution of the unperturbed harmonic oscillator wave function, when the anharmonic interaction vanishes.

Subject Keywords

Applied Mathematics, General Chemistry

URI

https://hdl.handle.net/11511/44179

Journal

JOURNAL OF MATHEMATICAL CHEMISTRY

DOI

https://doi.org/10.1007/bf01165345

Collections

Department of Mathematics, Article

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Citation Formats

H. Taşeli, “An alternative series solution to the isotropic quartic oscillator in N dimensions,” JOURNAL OF MATHEMATICAL CHEMISTRY, pp. 235–245, 1996, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/44179.