Asymptotic spectral analysis in colliding leaky quantum layers

0473567 - ÚJF 2018 RIV US eng J - Článek v odborném periodiku
Kondej, S. - Krejčiřík, David
Asymptotic spectral analysis in colliding leaky quantum layers.
Journal of Mathematical Analysis and Applications. Roč. 446, č. 2 (2017), s. 1328-1355. ISSN 0022-247X. E-ISSN 1096-0813
Grant CEP: GA ČR(CZ) GA14-06818S
Institucionální podpora: RVO:61389005
Klíčová slova: quantum layers * leaky graphs * Delta interaction supported on hypersurfaces * Norm-resolvent convergence * non-self-adjoint interaction
Obor OECD: Applied mathematics
Impakt faktor: 1.138, rok: 2017

We consider the Schrodinger operator with a complex delta interaction supported by two parallel hypersurfaces in the Euclidean space of any dimension. We analyse spectral properties of the system in the limit when the distance between the hypersurfaces tends to zero. We establish the norm-resolvent convergence to a limiting operator and derive first-order corrections for the corresponding eigenvalues.
Trvalý link: http://hdl.handle.net/11104/0270699