Propagation estimates for Dirac operators and application to scattering theory

Thierry Daudé[1]

  • [1] Université Bordeaux I, Institut de Mathématiques Appliquées de Bordeaux, UMR CNRS 5466, 351 cours de la libération, 33405 Talence Cedex (France)

Annales de l’institut Fourier (2004)

  • Volume: 54, Issue: 6, page 2021-2083
  • ISSN: 0373-0956

Abstract

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In this paper, we prove propagation estimates for a massive Dirac equation in flat spacetime. This allows us to construct the asymptotic velocity operator and to analyse its spectrum. Eventually, using this new information, we are able to obtain complete scattering results; that is to say we prove the existence and the asymptotic completeness of the Dollard modified wave operators.

How to cite

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Daudé, Thierry. "Propagation estimates for Dirac operators and application to scattering theory." Annales de l’institut Fourier 54.6 (2004): 2021-2083. <http://eudml.org/doc/116167>.

@article{Daudé2004,
abstract = {In this paper, we prove propagation estimates for a massive Dirac equation in flat spacetime. This allows us to construct the asymptotic velocity operator and to analyse its spectrum. Eventually, using this new information, we are able to obtain complete scattering results; that is to say we prove the existence and the asymptotic completeness of the Dollard modified wave operators.},
affiliation = {Université Bordeaux I, Institut de Mathématiques Appliquées de Bordeaux, UMR CNRS 5466, 351 cours de la libération, 33405 Talence Cedex (France)},
author = {Daudé, Thierry},
journal = {Annales de l’institut Fourier},
keywords = {Partial differential equations; spectral theory; scattering theory; Dirac's equation; propagation estimates; Mourre theory; Dollard modified wave operators},
language = {eng},
number = {6},
pages = {2021-2083},
publisher = {Association des Annales de l'Institut Fourier},
title = {Propagation estimates for Dirac operators and application to scattering theory},
url = {http://eudml.org/doc/116167},
volume = {54},
year = {2004},
}

TY - JOUR
AU - Daudé, Thierry
TI - Propagation estimates for Dirac operators and application to scattering theory
JO - Annales de l’institut Fourier
PY - 2004
PB - Association des Annales de l'Institut Fourier
VL - 54
IS - 6
SP - 2021
EP - 2083
AB - In this paper, we prove propagation estimates for a massive Dirac equation in flat spacetime. This allows us to construct the asymptotic velocity operator and to analyse its spectrum. Eventually, using this new information, we are able to obtain complete scattering results; that is to say we prove the existence and the asymptotic completeness of the Dollard modified wave operators.
LA - eng
KW - Partial differential equations; spectral theory; scattering theory; Dirac's equation; propagation estimates; Mourre theory; Dollard modified wave operators
UR - http://eudml.org/doc/116167
ER -

References

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