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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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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.