Asymptotics of the scattering phase for the Dirac operator: high energy, semi-classical and non-relativistic limits

DOI10.1007/BF02384826zbMath1040.81091OpenAlexW2008403948MaRDI QIDQ1426894

Vincent Bruneau, Didier Robert

Publication date: 15 March 2004

Published in: Arkiv för Matematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02384826

zbMATH Keywords

Foldy-Wouthuysen transformationKrein formula

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) (2)-body potential quantum scattering theory (81U05)

Related Items (11)

Invariant subspaces of elliptic systems. II: spectral theory ⋮ Spectral asymptotics for the Schrödinger operator with a non-decaying potential ⋮ Quasi-normal modes for Dirac fields in the Kerr–Newman–de Sitter black holes ⋮ Topological obstructions to the diagonalisation of pseudodifferential systems ⋮ Time delay for the Dirac equation ⋮ The Witten index and the spectral shift function ⋮ Eigenvalues and resonances of Dirac operators with dilation analytic potentials diverging at infinity ⋮ RESONANCES AND SPECTRAL SHIFT FUNCTION FOR THE SEMI-CLASSICAL DIRAC OPERATOR ⋮ Diagonalization of elliptic systems via pseudodifferential projections ⋮ Invariant subspaces of elliptic systems I: pseudodifferential projections ⋮ Spectral shift function and resonances for slowly varying perturbations of periodic Schrödinger operators

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