Classical and quantum dynamics of a particle in a narrow angle

We consider the 2D Schr¨odinger equation with variable potential in the narrow domain diffeomorphic to the wedge with the Dirichlet boundary condition. The corresponding classical problem is the billiard in this domain. In general, the corresponding dynamical system is not integrable. The small angl...

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Bibliographic Details
Main Authors: S Dobrokhotov, D Minenkov, Anatoly Neishtadt, S Shlosman
Format: Default Article
Published: 2019
Subjects:
Mathematical Physics
Applied Mathematics
Potential well
Stationary Schrodinger equation
KAM-theory
Operator separation of variables
Semiclassical asymptotics
Airy function
Bessel function
Online Access:https://hdl.handle.net/2134/9939245.v1
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