Asymptotic eigenfunctions of the ``bouncing ball type for the two-dimensional Schrödinger operator with a symmetric potential

DOI10.1134/S0040577919060060zbMath1427.81031OpenAlexW2954514813MaRDI QIDQ2280488

A. I. Klevin

Publication date: 18 December 2019

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0040577919060060

zbMATH Keywords

asymptoticsspectrumAiry functionstationary Schrödinger equationcomplex germcanonical Maslov operator

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) General topics in linear spectral theory for PDEs (35P05) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05)

Related Items (3)

Uniform asymptotics in the form of Airy functions for bound states of the quantum anisotropic Kepler problem localized in a neighborhood of annuli ⋮ New integral representations for the Maslov canonical operator on an isotropic manifold with a complex germ ⋮ Asymptotics of eigenfunctions of the bouncing ball type of the operator \(\nabla D(x)\nabla\) in a domain bounded by semirigid walls

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