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Uniform Asymptotic Solution in the Form of an Airy Function for Semiclassical Bound States in One-Dimensional and Radially Symmetric Problems by A. Yu. Anikin; S. Yu. Dobrokhotov; V. E. Nazaikinskii; A. V. Tsvetkova is a Physics and Astronomy article available to read on EtoBox.

What is Uniform Asymptotic Solution in the Form of an Airy Function for Semiclassical Bound States in One-Dimensional and Radially Symmetric Problems about?

We consider stationary scalar and vector problems for differential and pseudodifferential operators leading to the appearance of asymptotic solutions of one-dimensional problems localized in a neighborhood of intervals ("bound states"). Based on the semiclassical approximation and the Maslov canonical operator, we develop a constructive algorithm that allows writing an asymptotic solution globally under certain conditions using an Airy function of complex argument.

Who reads Uniform Asymptotic Solution in the Form of an Airy Function for Semiclassical Bound States in One-Dimensional and Radially Symmetric Problems?

Author

A. Yu. Anikin; S. Yu. Dobrokhotov; V. E. Nazaikinskii; A. V. Tsvetkova

Publisher

SP MAIK Nauka/Interperiodica; Springer-Verlag; Pleiades Publishing; Springer Science and Business Media LLC; Pleiades Publishing Ltd (ISSN 0040-5779)

Published

2019

Language

EN

Field

Physics and Astronomy (Physical Sciences)