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Some Symbolic-Numeric Methods for Calculation of Energy Eigenvalues for the Quantum Anharmonic Oscillators
- Authors: Florinsky VV1, Chekanov NA1
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Affiliations:
- Belgorod State University
- Issue: No 1 (2009)
- Pages: 45-55
- Section: Articles
- URL: https://journals.rudn.ru/miph/article/view/8466
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Abstract
One-dimensional Shr.odinger's equation for the quartic, sexic and octic anharmonical oscillators is considered. The energy spectra of this quantum oscillators by the quantization of classical Lindstedt-Poincare trajectories, by the method of the Deprit-Hori normal forms and by using the power series are obtained. The comparison of obtained results are performed.
About the authors
V V Florinsky
Belgorod State UniversityКафедра математического анализа; Белгородский государственный университет; Belgorod State University
N A Chekanov
Belgorod State UniversityКафедра математического анализа; Белгородский государственный университет; Belgorod State University
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