Asymptotic spectral analysis in colliding leaky quantum layers

作者：Kondej Sylwia; Krejcirik David^*

来源：Journal of Mathematical Analysis and Applications, 2017, 446(2): 1328-1355.

DOI：10.1016/j.jmaa.2016.09.032

• Quantum layers
• Leaky graphs
• Delta interaction supported on hypersurfaces
• Norm-resolvent convergence
• Non-self-adjoint interaction

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.

• 出版日期2017-2-15