Semi-classical States for Non-self-adjoint Schrodinger Operators
E B Davies
Abstract
We prove that the spectrum of certain non-self-adjoint Schrodinger operators is unstable in the semi-classical limit. Similar results hold for a fixed operator in the high energy limit. The method involves the construction of approximate semi-classical modes of the operator by the JWKB method for energies far from the spectrum.
Create a lesson
Related papers
Sharp upper bounds for Steklov eigenvalues on warped products
Jade Brisson, Bruno Colbois, Alexandre Girouard et al.
Non-Bloch band theory for finite banded non-Hermitian Toeplitz matrices
Yannick de Bruijn, Erik Orvehed Hiltunen
Non-resonant angles in a Robin eigenvalue problem
Konstantin Pankrashkin
Sums of Dirichlet eigenvalues in proximity of the disk and the ball
Matthias Baur
On the inequality μ3 < λ1 for the eigenvalues of the Laplace operator
N. Filonov
Quantitative spectral stability and sharp Fourier estimates for periodic CMV matrices with decaying perturbations
Moacir Aloisio, César R. de Oliveira, Mariane Pigossi