Sharp Spectral Asymptotics for Magnetic Schrödinger Operator with Irregular Potential
Victor Ivrii
Abstract
Survey: In this paper I consider sharp spectral asymptotics for multidimensional magnetic Schrödinger operator with irregular coefficients with respect to two parameters -- semiclassical parameter h and coupling parameter μ. There are few principally different cases, depending on dimension, rank of magnetic intensity matrix, relation between h and μ and some extra assumptions.
Create a lesson
Related papers
Monotonicity of the propagation speed with respect to the diffusion in a Lotka-Volterra competition-diffusion system
Cyrille Kenne
Sign-preserving solutions to the Tzitzéica equation on lattice graphs
Pengxiu Yu, Yiping Zhang
Concavity and other properties of the entropy on manifolds
Xuenan Fu, Juanling Lu, Qi S. Zhang
The Higher-Dimensional Nitsche Conjecture: Sharp Bounds and Rigidity
Bin Deng, Jiahuan Li, Yilu Liu et al.
The complete spectrum of the linearized p-Laplacian at a Sobolev extremal
Yitian Zhang
Rigidity and existence of Busemann profiles for the Allen--Cahn equation on Cartan--Hadamard manifolds
Luis Eduardo Osorio-Acevedo, Álvaro Jaramillo