Bound States in Bent Soft Waveguides

作     者：Exner, Pavel Vugalter, Semjon 

作者机构：Doppler Institute for Mathematical Physics and Applied Mathematics Czech Technical University Břehová 7 Prague11519 Czech Republic Department of Theoretical Physics NPI Academy of Sciences Řež Prague25068 Czech Republic Institute for Analysis Karlsruhe Institute of Technology Englerstrasse 2 Karlsruhe76131 Germany 

出 版 物：《arXiv》 (arXiv)

年 卷 期：2023年

核心收录：

主　　题：Waveguides 

摘      要：The aim of this paper is to show that a two-dimensional Schrödinger operator with the potential in the form of a ‘ditch’ of a fixed profile can have a geometrically induced discrete spectrum;this happens if such a potential channel has a single or multiple bends being straight outside a compact. Moreover, under stronger geometric restrictions the claim remains true in the presence of a potential bias at one of the channel ‘banks’.MSC Codes Primary 81Q37;Secondary 35J10, 35P15 © 2023, CC BY.