Existence of semiclassical resonances with exponentially small widths near Landau levels for locally constant magnetic fields, and from step discontinuities, wells, or isolated zeros.
Local strong magnetic fields and the Little-Parks effect
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
Starting from the Ginzburg--Landau model in a planar simply connected domain, with a local compactly supported applied magnetic field, we derive an effective model in the strong field limit, defined on a non-simply connected domain. The effective model features oscillations in the Little-Parks and Aharonov--Bohm spirit. We discuss also a similar question for the lowest eigenvalue of the magnetic Laplacian.
fields
math-ph 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
Semiclassical resonances under local magnetic fields
Existence of semiclassical resonances with exponentially small widths near Landau levels for locally constant magnetic fields, and from step discontinuities, wells, or isolated zeros.