Asymptotic spectral analysis in colliding leaky quantum layers
  We consider the Schroedinger 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. 
Sylwia Kondej and David Krejcirik
math-ph math.AP math.MP math.SP quant-ph