Scattering amplitude for dirac operators

DOI10.1080/03605309908821427zbMath0924.35127OpenAlexW1988538738MaRDI QIDQ4237905

R. G. M. Brummelhuis, J. F. Nourrigat

Publication date: 11 November 1999

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605309908821427

zbMATH Keywords

semiclassical analysisapproximate projectionmatrix pseudodifferential operators

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) PDEs in connection with quantum mechanics (35Q40) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20)

Related Items (10)

Invariant subspaces of elliptic systems. II: spectral theory ⋮ Semi- and non-relativistic limit of the Dirac dynamics with external fields ⋮ Semiclassical limit for multistate Klein–Gordon systems: almost invariant subspaces, and scattering theory ⋮ An index theorem on asymptotically static spacetimes with compact Cauchy surface ⋮ Long time semiclassical Egorov theorem for ℏ-pseudodifferential systems ⋮ Coherent States for Systems ofL²-Supercritical Nonlinear Schrödinger Equations ⋮ Reduction Scheme for Semiclassical Operator-Valued Schrödinger Type Equation and Application to Scattering ⋮ The time-dependent Born-Oppenheimer approximation ⋮ Diagonalization of elliptic systems via pseudodifferential projections ⋮ Two-parameter asymptotics in magnetic Weyl calculus

Cites Work

• Asymptotic behavior of scattering amplitudes in semi-classical and low energy limits
• On the propagation of polarization sets for systems of real principal type
• Limiting absorption principle and resonances for the Dirac operator
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