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math.SP2025
Local perturbations of potential well arrays
Pavel Exner, David Spitzkopf
We consider an equidistant array of disjoint potential wells in , built over a straight line, and show that, under a restriction on the potential support as…
math.SP2023
Tunneling in soft waveguides:closing a book
Pavel Exner, David Spitzkopf
We investigate the spectrum of a soft quantum waveguide in two dimensions of the generalized `bookcover' shape, that is, Schrödinger operator with the potential in the form of a di…