Geometrically induced spectrum in curved leaky wires

Authors
Exner, P Ichinose, T
Citation
P. Exner et T. Ichinose, Geometrically induced spectrum in curved leaky wires, J PHYS A, 34(7), 2001, pp. 1439-1450
Citations number
14
Categorie Soggetti
Physics
Journal title
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
ISSN journal
03054470 → ACNP
Volume
34
Issue
7
Year of publication
2001
Pages
1439 - 1450
Database
ISI
SICI code
0305-4470(20010223)34:7<1439:GISICL>2.0.ZU;2-M
Abstract
We study measure perturbations of the Laplacian in L-2(R-2) supported by an infinite curve Gamma in the plane which is asymptotically straight in a su itable sense. We show that if Gamma is not a straight line, such a 'leaky q uantum wire' has at least one bound state below the threshold of the essent ial spectrum.