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Semiclassical Resonances of Schrodinger Operators as Zeroes of Regularized Determinants

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Publication:3515995
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DOI10.1093/IMRN/RNN002zbMath1204.35078arXiv0709.2060OpenAlexW2000875446MaRDI QIDQ3515995

Vincent Bruneau, Jean-Marc Bouclet

Publication date: 30 July 2008

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0709.2060


zbMATH Keywords

Schrödinger operatorlong-range perturbationsregularised determinantssemiclassical resonances


Mathematics Subject Classification ID

Perturbation theory of linear operators (47A55) Schrödinger operator, Schrödinger equation (35J10) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Determinants and determinant bundles, analytic torsion (58J52)


Related Items (1)

Resonances near thresholds in slightly twisted waveguides







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