WKB energy quantization and first-order perturbation theory

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Abstract

The WKB quantization condition can be used to estimate the quantized bound state energies, En, in a potential V(x). If a small perturbation of the form λ V′ (x) is added to this potential, we show that the resulting shift in the quantized energy eigenvalues is given by a form which is quite similar to standard first-order perturbation theory. Several examples are presented in which the large n form of the lowest-order energy shift is more easily evaluated using WKB-perturbation techniques than by using standard first-order perturbation methods.

Original languageEnglish (US)
Pages (from-to)320-328
Number of pages9
JournalAmerican Journal of Physics
Volume65
Issue number4
DOIs
StatePublished - Apr 1997

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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