Semi-classical asymptotics for local spectral densities and time delay problems in scattering processes

DOI10.1016/0022-1236(88)90069-9zbMath0663.47009OpenAlexW2042964088MaRDI QIDQ1114139

Hideo Tamura, Didier Robert

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1016/0022-1236(88)90069-9

zbMATH Keywords

semiclassical asymptoticsgeneralized eigenvaluesspectral densityconvergence of the quantum time delay to its classical value in the non-trapping regionlocal spectral densities of Schrödinger operators

Mathematics Subject Classification ID

General theory of partial differential operators (47F05) Scattering theory of linear operators (47A40) Ordinary differential operators (34L99)

Related Items

On scattering theory for long range perturbations of Laplace operators, SCATTERING THEORY APPROACH TO RANDOM SCHRÖDINGER OPERATORS IN ONE DIMENSION, Asymptotique de la phase de diffusion à haute énergie pour des perturbations du second ordre du laplacien, Time delay in scattering by potentials and by magnetic fields with two supports at large separation, A time-independent approach for the study of spectral shift function, Breit-Wigner formulas for the scattering phase and the total scattering cross-section in the semi-classical limit, Asymptotics of the scattering phase for the Dirac operator: high energy, semi-classical and non-relativistic limits, Limit measures for the Helmholtz equation in the non-trapping case, Semiclassical asymptotics for the spectral function of long-range Schrödinger operators, Time-Delay Operators in Semiclassical Limit. II. Short-Range Potentials, Applications of resonance theory without analyticity assumption, Asymptotic expansion of the scattering phase with high energy for the Dirac operator, Semi-classical behaviour of the scattering phase for trapping perturbations of the laplacian

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