Integrable dynamical systems generated by quantum models with an adiabatic parameter

被引：0
|
作者：
A. Mylläri
S. Yu. Slavyanov
机构：
[1] University of Turku,
[2] Âbo Akademi University,undefined
[3] St. Petersburg State University,undefined
来源：
Theoretical and Mathematical Physics | 2011年 / 166卷
关键词：
two-Coulomb-center problem; Stark effect in hydrogen; Painlevé equation; integrable dynamical system;
D O I：
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摘要：
Several models solvable in terms of special functions of the Heun class are widely used in quantum mechanics. They are all characterized by the presence of a parameter that can be regarded as an adiabatic variable. An antiquantization procedure applied to such a model generates a dynamical model with properties of the Painlevé equations. The mentioned parameter plays the role of time. We consider examples of such models.
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