On perturbation theory for an asymmetric anharmonic oscillator |
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Authors: | Yu. M. Poluéktov |
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Affiliation: | (1) Khar’kov Physical-Technical Institute, Khar’kov, Ukraine |
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Abstract: | A modified perturbation theory is formulated for an asymmetric anharmonic oscillator based on a choice of the main approximation constructed by analogy with the self-consistent field model. This perturbation theory has a much wider range of application in comparison with the standard approach and considers a finite number of energy levels in the potential well already in the main approximation. This approach is used for the construction of a two-atomic model of a quantum crystal. A quantum analog of the Lindeman criterion is obtained. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 1, pp. 30–40, January, 2009. |
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Keywords: | Schr?dinger’ s equation perturbation theory anharmonic oscillator main approximation |
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