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Renormalized perturbation theory by the moment method for degenerate states: Anharmonic oscillators

✍ Scribed by Marcelo D. Radicioni; Carlos G. Diaz; Francisco M. Fernández

Publisher: John Wiley and Sons
Year: 1998
Tongue: English
Weight: 183 KB
Volume: 66
Category: Article
ISSN: 0020-7608
DOI: 10.1002/(sici)1097-461x(1998)66:4<261::aid-qua1>3.0.co;2-t

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✦ Synopsis

We apply renormalized perturbation theory by the moment method to an anharmonic oscillator in two dimensions with a perturbation that couples unperturbed degenerate states. The method leads to simple recurrence relations for the perturbation corrections to the energy and moments of the eigenfunction. We calculate accurate energy eigenvalues, illustrate the general features of the method, and comment on the application of the approach to other quantum mechanical models.