Copy For Citation
Taseli H., Ersecen M.
JOURNAL OF MATHEMATICAL CHEMISTRY, vol.34, pp.177-187, 2003 (SCI-Expanded)
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Publication Type:
Article / Article
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Volume:
34
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Publication Date:
2003
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Doi Number:
10.1023/b:jomc.0000004067.16089.02
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Journal Name:
JOURNAL OF MATHEMATICAL CHEMISTRY
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Journal Indexes:
Science Citation Index Expanded (SCI-EXPANDED), Scopus
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Page Numbers:
pp.177-187
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Keywords:
Schrodinger equation, quantum mechanical oscillators, orthogonal expansions, Hermite-Weber functions, ANHARMONIC-OSCILLATOR, SCHRODINGER-EQUATION, PERTURBATION-THEORY, ENERGY-SPECTRUM, POTENTIALS, BOUNDS
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Middle East Technical University Affiliated:
Yes
Abstract
The effectiveness of the usual harmonic oscillator basis is demonstrated on a wide class of Schrodinger Hamiltonians with various spectral properties. More specifically, it is shown numerically that an appropriately scaled Hermite-Weber basis yields extremely accurate results not only for the energy eigenvalues which differ slighly from the harmonic oscillator levels, but also for the states which reflect a purely anharmonic character.