Tunneling resonances in systems without a classical trapping

0391481 - ÚJF 2014 RIV US eng J - Článek v odborném periodiku
Borisov, D. - Exner, Pavel - Golovina, A.
Tunneling resonances in systems without a classical trapping.
Journal of Mathematical Physics. Roč. 54, č. 1 (2013), 012102. ISSN 0022-2488. E-ISSN 1089-7658
Grant CEP: GA ČR GAP203/11/0701
Institucionální podpora: RVO:61389005
Klíčová slova: wave-guides * scattering * space
Kód oboru RIV: BE - Teoretická fyzika
Impakt faktor: 1.176, rok: 2013
http://scitation.aip.org/getpdf/servlet/GetPDFServlet?filetype=pdf&id=JMAPAQ000054000001012102000001&idtype=cvips&doi=10.1063/1.4773098&prog=normal

In this paper, we analyze a free quantum particle in a straight Dirichlet waveguide which has at its axis two Dirichlet barriers of lengths l (+/-) separated by a window of length 2a. It is known that if the barriers are semi-infinite, i.e., we have two adjacent waveguides coupled laterally through the boundary window, the system has for any a > 0 a finite number of eigenvalues below the essential spectrum threshold. Here, we demonstrate that for large but finite l (+/-) the system has resonances which converge to the said eigenvalues as l (+/-) -> infinity, and derive the leading term in the corresponding asymptotic expansion.
Trvalý link: http://hdl.handle.net/11104/0220560