Počet záznamů: 1
Spectral Analysis of a Quantum System with a Double Line Singular Interaction
- 1.0428327 - ÚJF 2015 RIV JP eng J - Článek v odborném periodiku
Kondej, S. - Krejčiřík, David
Spectral Analysis of a Quantum System with a Double Line Singular Interaction.
Publications of the Research Institute for Mathematical Sciences. Roč. 49, č. 4 (2013), s. 831-859. ISSN 0034-5318. E-ISSN 1663-4926
Grant CEP: GA ČR GAP203/11/0701
Institucionální podpora: RVO:61389005
Klíčová slova: Schrödinger operator * singular perturbation * spectral analysis * Hardy inequality * resonance
Kód oboru RIV: BE - Teoretická fyzika
Impakt faktor: 0.614, rok: 2013
We consider a non-relativistic quantum particle interacting with a singular potential supported by two parallel straight lines in the plane. We locate the essential spectrum under the hypothesis that the interaction asymptotically approaches a constant value, and find conditions which guarantee either the existence of discrete eigenvalues or Hardy-type inequalities. For a class of our models admitting mirror symmetry, we also establish the existence of embedded eigenvalues and show that they turn into resonances after introducing a small perturbation.
Trvalý link: http://hdl.handle.net/11104/0233680
Počet záznamů: 1