Geometry of Winter model

By constructing the Riemann surface controlling the resonance structure of Winter model, we determine the limitations of perturbation theory. We then derive explicit non-perturbative results for various observables in the weak-coupling regime, in which the model has an infinite tower of long-lived r...

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Bibliographic Details
Published in:Journal of mathematical physics 2015-06, Vol.56 (6), p.1
Main Authors: Aglietti, U. G., Santini, P. M.
Format: Article
Language:English
Subjects:
Geometry
Mathematical functions
Mathematical models
Perturbation methods
Perturbation theory
Physics
Riemann surfaces
Wave functions
Winter
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Summary:By constructing the Riemann surface controlling the resonance structure of Winter model, we determine the limitations of perturbation theory. We then derive explicit non-perturbative results for various observables in the weak-coupling regime, in which the model has an infinite tower of long-lived resonant states. The problem of constructing proper initial wavefunctions coupled to single excitations of the model is also treated within perturbative and non-perturbative methods.
ISSN:0022-2488
1089-7658
DOI:10.1063/1.4922108