3 papers
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.SP2026
Discrete spectrum from local perturbations of leaky curves
Pavel Exner
We discuss spectrum of a class of singular Schrödinger operator models known as leaky curves and show that if the interaction support has a periodic shape, its local perturbations…
quant-ph2026
Quantum graph resonances by cut-off technique
Pavel Exner, JiÅà Lipovský, Jan PekaÅ
We demonstrate how resonances in a quantum graph consisting of a compact core and semi-infinite leads can be identified from the eigenvalue behavior of the cut-off system.