Počet záznamů: 1
Spectrum of Dirichlet Laplacian in a conical layer
- 1.0350849 - ÚJF 2011 RIV GB eng J - Článek v odborném periodiku
Exner, Pavel - Tater, Miloš
Spectrum of Dirichlet Laplacian in a conical layer.
Journal of Physics A-Mathematical and Theoretical. Roč. 43, č. 47 (2010), 474023/1-474023/11. ISSN 1751-8113. E-ISSN 1751-8121
Grant CEP: GA MŠMT LC06002
Výzkumný záměr: CEZ:AV0Z10480505
Klíčová slova: QUANTUM WAVE-GUIDES * BOUND-STATES * EXISTENCE
Kód oboru RIV: BE - Teoretická fyzika
Impakt faktor: 1.641, rok: 2010
We study the spectral properties of Dirichlet Laplacian on the conical layer of the opening angle pi - 2 theta and thickness equal to pi. We demonstrate that below the continuum threshold, which is equal to 1, there is an infinite sequence of isolated eigenvalues and analyse properties of these geometrically induced bound states. By numerical computation we find examples of the eigenfunctions.
Trvalý link: http://hdl.handle.net/11104/0190739
Počet záznamů: 1