Resonances for the One‐Dimensional Schrödinger Operator With the Matrix‐Valued Complex Square‐Well Potential
Abstract
ABSTRACT We study the resonances of (generally, non‐self‐adjoint) Schrödinger operators with matrix‐valued square‐well potentials. We compute explicitly the Jost function and derive complex transcendental equations for the resonances. We prove several results concerning the distribution of resonances in the complex plane. We compute the multiplicity of resonances and prove a version of the Weyl Law for the number of resonances.
Fields of Study & Subjects
Spectral Theory in Mathematical Physics
Quantum Mechanics and Non-Hermitian Physics
Random Matrices and Applications
Publication details
- Journal / source
- Studies in Applied Mathematics
- Volume
- 156
- Issue
- 5
- Publication date
- 1 May 2026
- Language
- EN