Asymptotic and numerical analysis of slowly varying two-dimensional quantum waveguides

Autor:	Víctor Barrera-Figueroa, Vladimir S Rabinovich, Samantha Ana Cristina Loredo-Ramírez
Rok vydání:	2022
Předmět:	Statistics and Probability Modeling and Simulation General Physics and Astronomy Statistical and Nonlinear Physics Mathematical Physics
Zdroj:	Journal of Physics A: Mathematical and Theoretical. 55:095202
ISSN:	1751-8121 1751-8113
DOI:	10.1088/1751-8121/ac4b14
Popis:	The work is devoted to the asymptotic and numerical analysis of the wave function propagating in two-dimensional quantum waveguides with confining potentials supported on slowly varying tubes. The leading term of the asymptotics of the wave function is determined by an adiabatic approach and the WKB approximation. Unlike other similar studies, in the present work we consider arbitrary bounded potentials and obtain exact solutions for the thresholds, and for the transverse modes in the form of power series of the spectral parameter. Our approach leads to an effective numerical method for the analysis of such quantum waveguides and for the tunnel effect observed in sections of the waveguide that shrink or widen too much. Several examples of interest show the applicability of the method.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::db4cbd7fe7b9b7bae67272e3afdfcd45 https://doi.org/10.1088/1751-8121/ac4b14 Zobrazit plný text záznamu