Phys. Rev. A 56, 4304 - 4306 (1997)

Renormalized perturbation theory by the moment method for degenerate states

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Marcelo D. Radicioni and Carlos G. Diaz
Departamento de Química, Facultad de Ciencias Exactas y Naturales, Universidad Nacional de Mar del Plata, Funes 3350, 7600 Mar del Plata, Argentina

Francisco M. Fernández
CEQUINOR, Facultad de Ciencias Exactas, Universidad Nacional de La Plata, Calle 47 y 115, Casilla de Correo 962, 1900 La Plata, Argentina

Received 9 September 1996; revised 14 May 1997

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 generalize the approach and systematize its application to excited states.


©1997 The American Physical Society

URL: http://link.aps.org/doi/10.1103/PhysRevA.56.4304
DOI: 10.1103/PhysRevA.56.4304
PACS: 03.65.Ge

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