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Hyperbolicity of the trace map for a strongly coupled quasiperiodic Schrödinger operator

✍ Scribed by Emiliano De Simone; Laurent Marin


Book ID
106198860
Publisher
Springer Vienna
Year
2010
Tongue
English
Weight
405 KB
Volume
163
Category
Article
ISSN
0026-9255

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A Semi-classical Trace Formula for Schrö
✍ David Khuat-Duy 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 602 KB

Let H =&( 2 Â2) 2+V(x) be a Schro dinger operator on R n , with smooth potential V(x) Ä + as |x| Ä + . The spectrum of H is discrete, and one can study the asymptotic of the smoothed spectral density We shall investigate the case where E is a critical value of the symbol H of H and, extending the w