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math-ph2026
Semiclassical resonances under local magnetic fields
Pavel Exner, Ayman Kachmar
We study resonances for the semiclassical magnetic Laplacian in the full plane with a compactly supported magnetic field in the framework of semiclassical complex scaling and black…
math-ph2017★ 1 cited
On the bound states of magnetic Laplacians on wedges
P. Exner, V. Lotoreichik, A. Pérez-Obiol
This paper is mainly inspired by the conjecture about the existence of bound states for magnetic Neumann Laplacians on planar wedges of any aperture . So far, a proof w…
math-ph2000
A model of interband radiative transitions
J. Dittrich, P. Exner, M. Hirokawa
We consider a simple model which is a caricature of a crystal interacting with a radiation field. The model has two bands of continuous spectrum and the particle can pass from the…