131 citations · 912 across the 45 of their papers we have counts for
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math-ph2007★ 10 cited
On the dense point and absolutely continuous spectrum for Hamiltonians with concentric shells
Pavel Exner, Martin Fraas
We consider Schrödinger operator in dimension with a singular interaction supported by an infinite family of concentric spheres, analogous to a system studied by Hempel an…
quant-ph2007★ 8 cited
A remark on helical waveguides
Pavel Exner, Martin Fraas
Motivated by a proposal to create an optical helix-shaped waveguides for cold atoms and molecules, we discuss local perturbations which can create bound states in such a setting. T…
math-ph2007★ 7 cited
On the critical exponent in an isoperimetric inequality for chords
Pavel Exner, Martin Fraas, Evans M. Harrell
The problem of maximizing the norms of chords connecting points on a closed curve separated by arclength arises in electrostatic and quantum--mechanical problems. It is k…