D. Borisov

We consider a model of planar PT-symmetric waveguide and study the phenomenon of the eigenvalues collision under the perturbation of boundary conditions. This phenomenon was discovered numerically in previous works. The main result of this work is an analytic explanation of this phenomenon.

http://arxiv.org/abs/1401.6316

Spectral Theory (math.SP); Mathematical Physics (math-ph); Analysis of PDEs (math.AP)