Gap asymptotics in a weakly bent leaky quantum wire

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F15%3A00237935" target="_blank" >RIV/68407700:21340/15:00237935 - isvavai.cz</a>
Alternative codes found
RIV/61389005:_____/15:00454109
Result on the web
<a href="http://iopscience.iop.org/article/10.1088/1751-8113/48/49/495301/meta" target="_blank" >http://iopscience.iop.org/article/10.1088/1751-8113/48/49/495301/meta</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1088/1751-8113/48/49/495301" target="_blank" >10.1088/1751-8113/48/49/495301</a>

Result language
angličtina
Original language name
Gap asymptotics in a weakly bent leaky quantum wire
Original language description
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.
Czech name
—
Czech description
—

Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BE - Theoretical physics
OECD FORD branch
—

Project
<a href="/en/project/GA14-06818S" target="_blank" >GA14-06818S: Rigorous Methods in Quantum Dynamics: Geometry and Magnetic Fields</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2015
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Similar results(10)