Number of the records: 1

Gap asymptotics in a weakly bent leaky quantum wire

SYSNO ASEP	0454109
Document Type	J - Journal Article
R&D Document Type	Journal Article
Subsidiary J	Článek ve WOS
Title	Gap asymptotics in a weakly bent leaky quantum wire
Author(s)	Exner, Pavel (UJF-V)_{RID, ORCID, SAI} Kondej, S. (PL)
Number of authors	2
Source Title	Journal of Physics A-Mathematical and Theoretical. - : Institute of Physics Publishing - ISSN 1751-8113 Roč. 48, č. 49 (2015), s. 495301
Number of pages	19 s.
Publication form	Print - P
Language	eng - English
Country	GB - United Kingdom
Keywords	singular Schroedinger operators ; delta interaction ; leaky quantum wires ; weak perturbation ; asymptotic expansion
Subject RIV	BE - Theoretical Physics
R&D Projects	GA14-06818S GA ČR - Czech Science Foundation (CSF)
Institutional support	UJF-V - RVO:61389005
UT WOS	000366414100010
EID SCOPUS	84948780346
DOI	10.1088/1751-8113/48/49/495301
Annotation	The main question studied in this paper concerns the weak-coupling behavior of the geometrically induced bound states of singular Schrodinger operators with an attractive delta interaction supported by a planar, asymptotically straight curve Gamma. We demonstrate that if Gamma is only slightly bent or weakly deformed, then there is a single eigenvalue and the gap between it and the continuum threshold is in the leading order proportional to the fourth power of the bending angle, or the deformation parameter. For comparison, we analyze the behavior of a general geometrical induced eigenvalue in the situation when one of the curve asymptotes is wiggled.
Workplace	Nuclear Physics Institute
Contact	Markéta Sommerová, sommerova@ujf.cas.cz, Tel.: 266 173 228
Year of Publishing	2016

Number of the records: 1