Bounds on complex eigenvalues and resonances
A. A. Abramov, A. Aslanyan, E. B. Davies
Abstract
We obtain bounds on the complex eigenvalues of non-self-adjoint Schr\"odinger operators with complex potentials, and also on the complex resonances of self-adjoint Schr\"odinger operators. Our bounds are compared with numerical results, and are seen to provide useful information.
Create a lesson
Related papers
Arbitrarily Fast Quantum Dispersion in Long-Range Crystals
Gaétan Leclerc, Mostafa Sabri, Tuomas Sahlsten
On the Real Spectum of the One-Dimensional Dirac Operator with PT-Symmetric Coefficients
O. A. Veliev
Decay estimates for the Schrödinger operators with electro-magnetic potentials in dimension two with obstructions at zero energy
Lei Wei
Weyl's law and Pólya's conjecture for the Vladimirov-Taibleson operator
Yaojia Sun
Uniform Resolvent Estimates for the Discrete Schrödinger Operator in Higher Dimensions
Yuda Chen
An elementary counterexample to Escobar's Steklov conjecture on the three-ball
Alexandre Girouard, Thomas Hélière