Scattering theory for massless Dirac fields with long-range potentials

DOI10.1016/J.MATPUR.2005.01.003zbMath1074.81067OpenAlexW2045270698MaRDI QIDQ2487978

Thierry Daudé

Publication date: 17 August 2005

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matpur.2005.01.003

zbMATH Keywords

scattering theoryDirac equationMourre theorypropagation estimatesasymptotic velocity operatorDollard-modified wave operatorsmassive Dirac Hamiltonweak Dollard-modified wave operatorsweak propagation estimates

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Applications of operator theory in the physical sciences (47N50) PDEs in connection with quantum mechanics (35Q40) Axiomatic quantum field theory; operator algebras (81T05) (2)-body potential quantum scattering theory (81U05) Scattering theory of linear operators (47A40)

Related Items (3)

CONFORMAL SCATTERING FOR A NONLINEAR WAVE EQUATION ⋮ On the global limiting absorption principle for massless Dirac operators ⋮ Time-dependent scattering theory for charged Dirac fields on a Reissner–Nordström black hole

Cites Work

• Absence of singular continuous spectrum for certain self-adjoint operators
• Scattering theory for the perturbations of periodic Schrödinger operators
• Propagation estimates for Dirac operators and application to scattering theory.
• Limiting absorption principle at critical values for the Dirac operator
• \(C_0\)-groups, commutator methods and spectral theory of \(N\)-body Hamiltonians
• On the virial theorem in quantum mechanics
• Scattering theory for the Dirac operator with a long-range electromagnetic potential
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