Estimation of the imaginary part of the scattering matrix pole for the three-dimensional Schrödinger equation with a trap potential

DOI10.1007/BF02557118zbMath0946.35056OpenAlexW2074222156MaRDI QIDQ1568055

A. A. Arsen'ev

Publication date: 26 June 2000

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02557118

zbMATH Keywords

Parseval equalitybarrier heightinvariance of the wave operators

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Schrödinger operator, Schrödinger equation (35J10) (S)-matrix theory, etc. in quantum theory (81U20)

Cites Work

• Perturbation of resonances in quantum mechanics
• Perturbation theory for shape resonances and large barrier potentials
• On resonance properties of scattering amplitude for Schrödinger equation with trapping potential
• Resonances, metastable states and exponential decay laws in perturbation theory

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