Space-time picture of semiclassical resonances
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Publication:1193086
DOI10.1007/BF02099139zbMath0755.35102MaRDI QIDQ1193086
Christian Gérard, Israel Michael Sigal
Publication date: 27 September 1992
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Scattering theory for PDEs (35P25) PDEs in connection with quantum mechanics (35Q40) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Schrödinger operator, Schrödinger equation (35J10)
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Cites Work
- Calcul fonctionnel par la transformation de Mellin et opérateurs admissibles
- Local spectral deformation techniques for Schrödinger operators
- Quantum mechanical resonance and limiting absorption: The many body problem
- Truncated Gamow functions, \(\alpha\)-decay and the exponential law
- Analytic properties of the scattering matrix of many particle systems
- On the location of resonances for Schrödinger operators in the semiclassical limit. I: Resonances free domains
- The shape resonance
- Semiclassical resonances generated by a closed trajectory of hyperbolic type
- Semi-classical analysis for the Schrödinger operator and applications
- A link between scattering resonances and dilation analytic resonances in few body quantum mechanics
- On the evolution of resonance states
- Spectral properties of many-body Schrödinger operators with dilatation- analytic interactions
- A class of analytic perturbations for one-body Schrödinger Hamiltonians
- Resonances, metastable states and exponential decay laws in perturbation theory
- Multiple wells in the semi-classical limit I
- Semiclassical resolvent estimates for two and three–body schrödinger operators
- Résonances en limite semi-classique
- Existence and analyticity of many-body scattering amplitudes at low energies
- Estimations de l'effet tunnel pour le double puits. II : états hautement excités
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