Asymptotic completeness for the Klein-Gordon equation on the Schwarzschild metric

Alain Bachelot

Annales de l'I.H.P. Physique théorique (1994)

  • Volume: 61, Issue: 4, page 411-441
  • ISSN: 0246-0211

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Bachelot, Alain. "Asymptotic completeness for the Klein-Gordon equation on the Schwarzschild metric." Annales de l'I.H.P. Physique théorique 61.4 (1994): 411-441. <http://eudml.org/doc/76664>.

@article{Bachelot1994,
author = {Bachelot, Alain},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {wave operators; scattering of a massive Klein-Gordon field by a Schwarzschild blackhole; scattering operator},
language = {eng},
number = {4},
pages = {411-441},
publisher = {Gauthier-Villars},
title = {Asymptotic completeness for the Klein-Gordon equation on the Schwarzschild metric},
url = {http://eudml.org/doc/76664},
volume = {61},
year = {1994},
}

TY - JOUR
AU - Bachelot, Alain
TI - Asymptotic completeness for the Klein-Gordon equation on the Schwarzschild metric
JO - Annales de l'I.H.P. Physique théorique
PY - 1994
PB - Gauthier-Villars
VL - 61
IS - 4
SP - 411
EP - 441
LA - eng
KW - wave operators; scattering of a massive Klein-Gordon field by a Schwarzschild blackhole; scattering operator
UR - http://eudml.org/doc/76664
ER -

References

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  2. [2] A. Bachelot, Gravitational Scattering of Electromagnetic Field by Schwarzschild Black-Hole, Ann. I.H.P.. Physique théorique, Vol. 54, 1991, pp. 261-320. Zbl0743.53037MR1122656
  3. [3] A. Bachelot, Scattering of Electromagnetic Field by De Sitter-Schwarzschild Black-Hole, in Non Linear Hyperbolic Equations and Field Theory, Research Notes in Math, Vol. 253, 1992, Pitman. Zbl0823.35162
  4. [4] A. Bachelot and A. Motet-Bachelot, Les résonances d'un trou noir de Schwarschild, Ann I.H.P. Physique théorique, Vol. 59, 1993, pp. 3-68. Zbl0793.53094MR1244181
  5. [5] A. Bachelot and J.-P. Nicolas, Équation non linéaire de Klein-Gordon dans des métriques de type Schwarzschild, C.R. Acad. Sci. Paris, T. 316, Série I, 1993, pp. 1047-1050. Zbl0776.35052MR1222970
  6. [6] N.N. Bogolubov, A.A. Logunov, A.I. Oksak and I.T. Todorov, General Principles of Quantum Field Theory, Kluwer Academic Publischers, Dordrecht, 1990. Zbl0732.46040MR1135574
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  8. [8] P. Deift and B. Simon, On the Decoupling of Finite Singularities from the Question of Asymptotic Completeness in two Body Quantum System, J. Func. Anal., Vol. 23, 1976, pp. 218-238. Zbl0344.47007MR432051
  9. [9] J. Dimock, Scattering for the Wave Equation on the Schwarzschild Metric, Gen. Rel. Grav. Vol. 17, 1985, pp. 353-369. Zbl0618.35088MR788801
  10. [10] J. Dimock and B.S. Kay, Scattering for Massive Scalar Fields on Coulomb Potentials and Schwarzschild metrics, Class. Quantum Grav., Vol. 3, 1986, pp. 71-80. Zbl0659.53054MR821837
  11. [11] J. Dimock and B.S. Kay, Classical and Quantum Scattering Theory for Linear scalar fields on the Schwarzschild Metric I, Ann. Phys., Vol. 175, 1987, pp. 366-426. Zbl0628.53080MR887979
  12. [12] J. Dimock and B.S. Kay, Classical and Quantum Scattering Theory for Linear Scalar Fields on the Schwarzschild Metric II, J. Math. Phys., Vol. 27, 1986, pp. 2520-2525. Zbl0608.53065MR857397
  13. [ 13] T. Kato, Perturbation Theory for Linear Operators, Springer-Verlag, New York, 1966. Zbl0148.12601MR203473
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Citations in EuDML Documents

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  1. Dietrich Häfner, Complétude asymptotique pour l'équation des ondes dans une classe d'espaces-temps stationnaires et asymptotiquement plats
  2. Alain Bachelot, Klein Paradox and Superradiance for the charged Klein-Gordon Field
  3. Alain Bachelot, Quantum vacuum polarization at the Black-Hole horizon
  4. J.-P. Nicolas, Scattering of linear Dirac fields by a spherically symmetric Black-Hole
  5. A. Bachelot, Diffusion classique et quantique par un trou noir en formation
  6. Alain Bachelot, L’effet Hawking
  7. Dietrich Häfner, Jean-Philippe Nicolas, Théorie de la diffusion pour l’équation de Dirac sans masse dans la métrique de Kerr
  8. Alain Bachelot, The Hawking effect

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