hal-00673107, version 2
Recovering the Hamiltonian from spectral data
(22/02/2012)
Résumé : We show that the contributions to the Gutzwiller formula with observable associated to the iterates of a given elliptic nondegenerate periodic trajectory $\gamma$ and to certain families of observables localized near $\gamma$ determine the quantum Hamiltonian in a formal neighborhood of the trajectory $\gamma$, that is the full Taylor expansion of its total symbol near $\gamma$. We also treat the ''bottom of a well" case both for general and Schrödinger operators.
- 1 :
- CNRS : UMR7640 – Polytechnique - X
- Domaine : Mathématiques/Physique mathématique
Physique/Physique Quantique - Versions disponibles : v1 (23-02-2012) v2 (11-07-2012) v3 (16-10-2012) v4 (10-01-2013) v5 (22-01-2013)
- hal-00673107, version 2
- http://hal.archives-ouvertes.fr/hal-00673107
- oai:hal.archives-ouvertes.fr:hal-00673107
- Contributeur :
- Soumis le : Mercredi 11 Juillet 2012, 11:11:17
- Dernière modification le : Mercredi 11 Juillet 2012, 13:40:34
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