Some Symbolic-Numeric Methods for Calculation of Energy Eigenvalues for the Quantum Anharmonic Oscillators

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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 University

Кафедра математического анализа; Белгородский государственный университет; Belgorod State University

N A Chekanov

Belgorod State University

Кафедра математического анализа; Белгородский государственный университет; Belgorod State University

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Copyright (c) 2009 Флоринский В.В., Чеканов Н.А.

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