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
Geometry of winter model / Aglietti, Ugo Giuseppe; Santini, Paolo Maria. - In: JOURNAL OF MATHEMATICAL PHYSICS. - ISSN 0022-2488. - 56:6(2015), p. 062104. [10.1063/1.4922108]
Geometry of winter model
AGLIETTI, Ugo Giuseppe;SANTINI, Paolo Maria
2015
Abstract
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| File | Dimensione | Formato | |
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