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math-ph2006★ 2 cited
Spectral gap of segments of periodic waveguides
Sylwia Kondej, Ivan Veselic'
We consider a periodic strip in the plane and the associated quantum waveguide with Dirichlet boundary conditions. We analyse finite segments of the waveguide consisting of per…
math-ph2006★ 22 cited
Lower bounds on the lowest spectral gap of singular potential Hamiltonians
Sylwia Kondej, Ivan Veselic'
We analyze Schrödinger operators whose potential is given by a singular interaction supported on a sub-manifold of the ambient space. Under the assumption that the operator has at…