Asymptotique semi-classique du spectre d'hamiltoniens quantiques et trajectories classiques périodiques
From MaRDI portal
Publication:3693951
DOI10.1080/03605308508820382zbMath0574.35067OpenAlexW1964397875MaRDI QIDQ3693951
Didier Robert, Vesselin Petkov
Publication date: 1985
Published in: Communications in Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/03605308508820382
Asymptotic distributions of eigenvalues in context of PDEs (35P20) Partial differential equations of mathematical physics and other areas of application (35Q99)
Related Items
On scattering theory for long range perturbations of Laplace operators, SEMI-CLASSICAL ASYMPTOTICS OF THE SPECTRAL FUNCTION OF PSEUDODIFFERENTIAL OPERATORS, Unnamed Item, On the Lebesgue measure of the periodic points of a contact manifold, Regularization of atomic Schrödinger operators with magnetic field, Refined Weyl law for homogeneous perturbations of the harmonic oscillator, Asymptotique de la phase de diffusion à haute énergie pour des perturbations du second ordre du laplacien, Meromorphic continuation of the spectral shift function, Quantitative version of Weyl's law, Geodesic biangles and Fourier coefficients of restrictions of eigenfunctions, Eigenvalues of the reference operator and semiclassical resonances, Semiclassics of the quantum current, Ergodicité et limite semi-classique. (Ergodicity and semi-classical limit), Quantum evolution and classical flow in complex phase space, Unnamed Item, Semiclassical spectra of gauge fields, Unnamed Item, Semiclassical asymptotics, gauge fields, and quantum chaos, Unnamed Item, Semiclassical principal symbols and Gutzwiller's trace formula, A semi-classical trace formula for Schrödinger operators, A semi-classical trace formula for several commuting operators, Semi-classical behaviour of the scattering phase for trapping perturbations of the laplacian
Cites Work
- Unnamed Item
- Calcul fonctionnel par la transformation de Mellin et opérateurs admissibles
- The asymptotic formulas for the number of bound states in the strong coupling limit
- Second term of the spectral asymptotic expansion of the Laplace-Beltrami operator on manifolds with boundary
- Sur le spectre des opérateurs elliptiques à bicaracteristiques toutes périodiques
- The spectrum of positive elliptic operators and periodic bicharacteristics
- The spectral function of an elliptic operator
- Spectre D'Un hamiltonien quantique et mecanique classique
- Proprietes asymptotiques du spectre dioperateurs pseuwdifferentiels sur IRn
