Clustering for the spectrum of \(h\)-pseudodifferential operators with periodic flow on an energy surface

DOI10.1006/JFAN.1996.3023zbMath0873.58064OpenAlexW2074052068MaRDI QIDQ1355072

Sandrine Dozias

Publication date: 28 September 1997

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jfan.1996.3023

zbMATH Keywords

spectrumpseudodifferential operatorHamiltonian flowperiodic flowenergy bandenergy surface

Mathematics Subject Classification ID

Pseudodifferential and Fourier integral operators on manifolds (58J40) Non-Archimedean analysis (32P05)

Related Items (9)

SEMI-CLASSICAL ASYMPTOTICS OF THE SPECTRAL FUNCTION OF PSEUDODIFFERENTIAL OPERATORS ⋮ Clustering for the spectrum of \(h\)-pseudodifferential operators with periodic flow on an energy surface ⋮ Semiclassical Szegö limit of eigenvalue clusters for the hydrogen atom Zeeman Hamiltonian ⋮ Band invariants for perturbations of the harmonic oscillator ⋮ Asymptotics of spectral clusters for a perturbation of the hydrogen atom ⋮ Spectral asymptotics via the semiclassical Birkhoff normal form ⋮ Algebras of semiclassical pseudodifferential operators associated with Zoll-type domains in cotangent bundles ⋮ On the spectrum of certain non-commutative harmonic oscillators and semiclassical analysis ⋮ Asymptotic lattices, good labellings, and the rotation number for quantum integrable systems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Calcul fonctionnel par la transformation de Mellin et opérateurs admissibles
• A semi-classical trace formula for Schrödinger operators
• Autour de l'approximation semi-classique. (Around semiclassical approximation)
• Sur le spectre des opérateurs elliptiques à bicaracteristiques toutes périodiques
• The spectrum of positive elliptic operators and periodic bicharacteristics
• Asymptotics of eigenvalue clusters for the Laplacian plus a potential
• Semiclassical principal symbols and Gutzwiller's trace formula
• Clustering for the spectrum of \(h\)-pseudodifferential operators with periodic flow on an energy surface
• Formule de Poisson pour les variétés riemanniennes
• Solution of the Schrödinger equation in terms of classical paths
• On the volume of manifolds all of whose geodesics are closed
• Spectre D'Un hamiltonien quantique et mecanique classique

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