Resonances for steplike potentials: forward and inverse results

2003/05/23 by T. J. Christiansen, T. Christiansen, Christiansen, T.
Mathematics · Physics and Astronomy · #34A55 #34L25 #81U40 #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum Mechanics and Non-Hermitian Physics #Quantum chaos and dynamical systems #Spectral Theory (math.SP) #Spectral Theory in Mathematical Physics #math-ph #math.MP #math.SP #msc:34A55 #msc:34L25 #msc:81U40

paper · pdf · doi:10.48550/arxiv.math/0305335

16 pages; submitted

arxiv created 2003/05/23 · openalex publication_date 2003/05/23 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider resonances associated to the operator -(d²)/(dx²)+V(x), where V(x)=V₊ if x>x_M and V(x)=V_- if x

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