Asymptotic expansion of the scattering phase with high energy for the Dirac operator

DOI10.5802/afst.896zbMath0915.35087OpenAlexW2313274926MaRDI QIDQ1275256

Vincent Bruneau

Publication date: 17 January 1999

Published in: Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AFST_1998_6_7_2_207_0

zbMATH Keywords

asymptotic expansionsupersymmetryHodge-Dirac operatorscattering phaseWeyl type formulaelectromagnetic perturbations of the Dirac operator

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) PDEs in connection with quantum mechanics (35Q40) (2)-body potential quantum scattering theory (81U05)

Cites Work

• Calcul fonctionnel par la transformation de Mellin et opérateurs admissibles
• Autour de l'approximation semi-classique. (Around semiclassical approximation)
• Semi-classical asymptotics for local spectral densities and time delay problems in scattering processes
• Relative index theorems and supersymmetric scattering theory
• Comportement semi-classique du spectre des hamiltoniens quantiques elliptiques
• Partial differential equations I. Foundations of the classical theory. Transl. from the Russian by R. Cooke
• Limiting absorption principle and resonances for the Dirac operator
• Relative time-delay for perturbations of elliptic operators and semiclassical asymptotics
• On the principle of limiting absorption for the Dirac operator
• Asymptotique de la phase de diffusion à haute énergie pour des perturbations du second ordre du laplacien
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