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Asymptotic spectral analysis in colliding leaky quantum layers
- 1.0473567 - ÚJF 2018 RIV US eng J - Journal Article
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
R&D Projects: GA ČR(CZ) GA14-06818S
Institutional support: RVO:61389005
Keywords : quantum layers * leaky graphs * Delta interaction supported on hypersurfaces * Norm-resolvent convergence * non-self-adjoint interaction
OECD category: Applied mathematics
Impact factor: 1.138, year: 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.
Permanent Link: http://hdl.handle.net/11104/0270699
Number of the records: 1