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- Title
Integrable dynamical systems generated by quantum models with an adiabatic parameter.
- Authors
Mylläri, A.; Slavyanov, S.
- Abstract
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.
- Subjects
QUANTUM theory; ADIABATIC invariants; MATHEMATICAL models; PAINLEVE equations; STARK effect; TWO-body problem (Physics); MATHEMATICAL analysis
- Publication
Theoretical & Mathematical Physics, 2011, Vol 166, Issue 2, p224
- ISSN
0040-5779
- Publication type
Article
- DOI
10.1007/s11232-011-0016-z