Strong-coupling expansions for the -symmetric oscillators

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, , Citation F M Fernández et al 1998 J. Phys. A: Math. Gen. 31 10105 DOI 10.1088/0305-4470/31/50/008

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1 CEQUINOR, (Conicet, UNLP), Facultad de Ciencias Exactas, Universidad Nacional de La Plata, Calle 47 entre 1 y 115, Casilla de Correo 962, 1900 La Plata, Argentina

2 Departamento de Fisica Atómica y Nuclear, Universidad de Valencia, Avda. Dr. Moliner 50, 46100-Burjassot, Valencia, Spain

3 Departamento de Fisica Teórica and IFIC, Universidad de Valencia, Avda. Dr. Moliner 50, 46100-Burjassot, Valencia, Spain

4 Oddeleniteoretické fyziky, Ústav jaderné fyziky AV CR, 250 68 Rez u Prahy, Czech Republic

Dates

  1. Received 7 October 1998

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0305-4470/31/50/10105

Abstract

We study the traditional problem of convergence of perturbation expansions when the hermiticity of the Hamiltonian is relaxed to a weaker symmetry. An elementary and quite exceptional cubic anharmonic oscillator is chosen as an illustrative example of such models. We describe its perturbative features paying particular attention to the strong-coupling regime. Efficient numerical perturbation theory proves suitable for such a purpose.

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