6533b870fe1ef96bd12cef71

RESEARCH PRODUCT

Strong-coupling expansions for the -symmetric oscillators

R GuardiolaJosé Luis Regidor RosFrancisco M. FernándezMiloslav Znojil

subject

Singular perturbationAnharmonicityGeneral Physics and AstronomyPerturbation (astronomy)Statistical and Nonlinear Physicssymbols.namesakeClassical mechanicsQuantum mechanicsStrong couplingsymbolsPerturbation theory (quantum mechanics)Hamiltonian (quantum mechanics)Mathematical PhysicsMathematics

description

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.

yearjournalcountryeditionlanguage
1998-12-18Journal of Physics A: Mathematical and General
https://doi.org/10.1088/0305-4470/31/50/008