Resonances for perturbations of a semiclassical periodic Schrödinger operator
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Publication:1842624
DOI10.1007/BF02559576zbMath0818.35096OpenAlexW2056195590MaRDI QIDQ1842624
Publication date: 4 May 1995
Published in: Arkiv för Matematik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf02559576
Scattering theory for PDEs (35P25) PDEs in connection with quantum mechanics (35Q40) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20)
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On absence of embedded eigenvalues for schrÖdinger operators with perturbed periodic potentials ⋮ The Fermi golden rule and its form at thresholds in odd dimensions ⋮ The band-edge behavior of the density of surfacic states ⋮ Threshold properties of matrix-valued Schrödinger operators. II: Resonances ⋮ Valeurs propres et résonances au voisinage d'un seuil ⋮ On small perturbations of the Schrödinger operator with a periodic potential ⋮ On perturbation of eigenvalues embedded at thresholds in a two channel model
Cites Work
- Quantum mechanical resonance and limiting absorption: The many body problem
- The topology of complex projective varieties after S. Lefschetz
- Resonance theory in atom-surface scattering
- Applications of an isotopy theorem
- Spectral properties of many-body Schrödinger operators with dilatation- analytic interactions
- A class of analytic perturbations for one-body Schrödinger Hamiltonians
- Resonances in n-body quantum systems with dilatation analytic potentials and the foundations of time-dependent perturbation theory
- Resonances, metastable states and exponential decay laws in perturbation theory
- Semiclassical theory of shape resonances in quantum mechanics
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