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2009•Journal of Jinzhong UniversityRequires access

Analysis of the Condition for the Applicability of Degenerate Perturbation Method

HU Ruo-xing

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Abstract

This paper mainly discusses the condition for the applicability of degenerate perturbation method.The exact analytical expression can be obtained in the non-degenerate case,and only the first-order approximate energy correction can be calculated in the degenerate case.However,the conditions for the degenerate perturbation and non-degenerate perturbation are different.In this paper,the method for comparing the energy-level correction and theoretical result in the degenerate case has been obtained by adopting the numerical analysis on two-dimensional the infinite quantum well.

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What this paper is about

This paper mainly discusses the condition for the applicability of degenerate perturbation method.The exact analytical expression can be obtained in the non-degenerate case,and only the first-order approximate energy correction can be calculated in the degenerate case.However,the conditions for the degenerate perturbation and non-degenerate perturbation are different.In this paper,the method for comparing the energy-level correction and theoretical result in the degenerate case has been obtained by adopting the numerical analysis on two-dimensional the infinite quantum well.

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Available abstract

This paper mainly discusses the condition for the applicability of degenerate perturbation method.The exact analytical expression can be obtained in the non-degenerate case,and only the first-order approximate energy correction can be calculated in the degenerate case.However,the conditions for the degenerate perturbation and non-degenerate perturbation are different.In this paper,the method for comparing the energy-level correction and theoretical result in the degenerate case has been obtained by adopting the numerical analysis on two-dimensional the infinite quantum well.

Key concepts: Degenerate energy levels, Perturbation (astronomy), Poincaré–Lindstedt method, Mathematics, Quantum, Degenerate semiconductor, Applied mathematics, Physics

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