Eigenfunction decay estimates in the quantum integrable case
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Publication:1974819
DOI10.1215/S0012-7094-98-09309-7zbMath0941.58017MaRDI QIDQ1974819
Publication date: 27 March 2000
Published in: Duke Mathematical Journal (Search for Journal in Brave)
Spectral theory and eigenvalue problems for partial differential equations (35P99) Groups and algebras in quantum theory and relations with integrable systems (81R12) Pseudodifferential and Fourier integral operators on manifolds (58J40) Quantum scattering theory (81U99)
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Cites Work
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- Tunnelling between tori in phase space
- Semiclassical resonances generated by a closed trajectory of hyperbolic type
- Concerning the \(L^ p\) norm of spectral clusters for second-order elliptic operators on compact manifolds
- Eigenfunction localization in the quantized rigid body
- Some spectral results on rank one symmetric spaces
- Quasi-modes sur les variétés Riemanniennes
- On the construction of quasimodes associated with stable periodic orbits
- Various quantum mechanical aspects of quadratic forms
- The semi-classical trace formula and propagation of wave packets
- On a class of spherical harmonics associated with rigid body motion
- The spectral function of an elliptic operator
- Multiple wells in the semi-classical limit I
- Résonances en limite semi-classique
- Eigenvalues associated with a closed geodesic
- Precise exponential estimates in adiabatic theory
- Estimates on Complex Interactions in Phase Space
- ON MARTINEZ’ METHOD OF PHASE SPACE TUNNELING
- Density of Resonances for Strictly Convex Analytic Obstacles
- Semi-classical analysis for Harper's equation. III : Cantor structure of the spectrum