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math-ph2019★ 9 cited
Sequences of closely spaced resonances and eigenvalues for bipartite complex potentials
D. I. Borisov, D. A. Zezyulin
We consider a Schroedinger operator on the axis with a bipartite potential consisting of two compactly supported complex-valued functions, whose supports are separated by a large d…
math-ph2019★ 6 cited
Spacing gain and absorption in a simple -symmetric model: spectral singularities and ladders of eigenvalues and resonances
D. I. Borisov, D. A. Zezyulin
We consider a parity-time (-) symmetric waveguide consisting of a localized gain and loss elements separated by a variable distance. The situation is modelled by a Sc…