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Derivation of energy expressions in the Rayleigh–Schrödinger perturbation theory

 

作者: K. Razi Naqvi,  

 

期刊: American Journal of Physics  （AIP Available online 1987）
卷期: Volume 55, issue 3  

页码: 269-271

 

ISSN:0002-9505

 

年代: 1987

 

DOI:10.1119/1.15176

 

出版商: American Association of Physics Teachers

 

关键词: ENERGY;EIGENVALUES;QUANTUM MECHANICS;HAMILTONIANS;RAYLEIGH−SCHROEDINGER FORMULA;PERTURBATION THEORY

 

数据来源: AIP

 

摘要:

It is shown that repeated differentiation, with respect to the perturbation parameter λ, of the equation 〈ψm(λ)‖H0+λV‖ψn(λ)〉 =En(λ)δmn, and methodical application of the closure relation ∑‖ψn〉〈ψn‖=1, provide a painless technique for deriving the energy corrections in the Rayleigh–Schrödinger perturbation theory. The procedure is compared with one based on solving the secular equationD(E)=0, whereDis the determinant whose elements are 〈ψi‖H0+V‖ψj〉−Eδij.

 

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