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math-ph2026
Spectral properties of twisted soft waveguides
Pavel Exner, David Spitzkopf
We discuss a model of a soft waveguide described by Schrödinger operator whose potential is a twisted straight channel of non-circular profile. We show that a compactly supported t…
math-ph2024
Magnetic transport due to a translationally invariant potential obstacle
Pavel Exner, David Spitzkopf
We consider a two-dimensional system in which a charged particle is exposed to a homogeneous magnetic field perpendicular to the plane and a potential that is translationally invar…
math-ph2008★ 2 cited
Interlaced dense point and absolutely continuous spectra for Hamiltonians with concentric-shell singular interactions
P. Exner, M. Fraas
We analyze the spectrum of the generalized Schrodinger operator in , with a general local, rotationally invariant singular interaction supported by an infinite fa…