Classical and quantum dynamics of a particle in a narrow angle

DOI10.1134/S156035471906008XzbMath1434.35135OpenAlexW2996532075WikidataQ126584640 ScholiaQ126584640MaRDI QIDQ2297608

D. S. Minenkov, Senya B. Shlosman, S. Yu. Dobrokhotov, Anatoly I. Neishtadt

Publication date: 20 February 2020

Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s156035471906008x

zbMATH Keywords

semiclassical asymptoticsKAM theorypotential wellBessel functionAiry functionstationary Schrödinger equationoperator separation of variables

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Asymptotic distributions of eigenvalues in context of PDEs (35P20) PDEs in connection with quantum mechanics (35Q40) Schrödinger operator, Schrödinger equation (35J10) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

Related Items (2)

On the delocalization of a quantum particle under the adiabatic evolution generated by a one-dimensional Schrödinger operator ⋮ Asymptotics of the whispering gallery-type in the eigenproblem for the Laplacian in a domain of revolution diffeomorphic to a solid torus

Cites Work

• Operator separation of variables for adiabatic problems in quantum and wave mechanics
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• Quantum waveguides
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• Eine an die Nicholsonformel anschließende asymptotische Entwicklung für Zylinderfunktionen
• On the diffraction of waves by conical singularities. I
• On the diffraction of waves by conical singularities. II
• Asymptotic and geometric quantization
• Linear Restriction Estimates for Schrödinger Equation on Metric Cones
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