2012/02/23 by Cyrille Heriveaux, Heriveaux, Cyrille, Thierry Paul +1
Computer Science · Earth and Planetary Sciences · Mathematics · Physics and Astronomy · #FOS: Physical sciences #Mathematical Physics (math-ph) #NMR spectroscopy and applications #Neural Networks and Applications #Quantum Mechanics and Applications #Quantum Physics (quant-ph) #Quantum chaos and dynamical systems #Seismic Imaging and Inversion Techniques #Spectral Theory in Mathematical Physics #math-ph #math.MP #quant-ph
paper · pdf · doi:10.48550/arxiv.1202.5102
openalex publication_date 2012/02/23 · arxiv created 2013/01/22 · arxiv updated 2013/01/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We show that the contributions to the Gutzwiller formula with observable associated to the iterates of a given elliptic nondegenerate periodic trajectory γ and to certain families of observables localized near γ determine the quantum Hamiltonian in a formal neighborhood of the trajectory γ, that is the full Taylor expansion of its total symbol near γ. We also treat the "bottom of a well" case both for general and Schrödinger operators.