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math.SP2024
Semiclassical asymptotics of the Bloch--Torrey operator in two dimensions
Frédéric Hérau, David Krejcirik, Nicolas Raymond
The Bloch--Torrey operator on a bounded smooth planar domain, subject to Dirichlet boundary conditions, is analyzed. Assuming an…
math.SP2023
Spectral asymptotics of the Neumann Laplacian with variable magnetic field on a smooth bounded domain in three dimensions
Khaled Abou Alfa, Maha Aafarani, Frédéric Hérau +1
This article is devoted the semiclassical spectral analysis of the Neumann magnetic Laplacian on a smooth bounded domain in three dimensions. Under a generic assumption on the vari…
math.SP2022
Semiclassical spectral gaps of the 3D Neumann Laplacian with constant magnetic field
Frédéric Hérau, Nicolas Raymond
This article deals with the spectral analysis of the semiclassical Neumann magnetic Laplacian on a smooth bounded domain in dimension three. When the magnetic field is constant and…