Klein Paradox and Superradiance for the charged Klein-Gordon Field

Alain Bachelot[1]

  • [1] Université Bordeaux-1, Institut de Mathématiques, UMR CNRS 5466, F-33405 Talence Cedex

Séminaire Équations aux dérivées partielles (2003-2004)

  • Volume: 2003-2004, page 1-11

How to cite

top

Bachelot, Alain. "Klein Paradox and Superradiance for the charged Klein-Gordon Field." Séminaire Équations aux dérivées partielles 2003-2004 (2003-2004): 1-11. <http://eudml.org/doc/11089>.

@article{Bachelot2003-2004,
affiliation = {Université Bordeaux-1, Institut de Mathématiques, UMR CNRS 5466, F-33405 Talence Cedex},
author = {Bachelot, Alain},
journal = {Séminaire Équations aux dérivées partielles},
language = {eng},
pages = {1-11},
publisher = {Centre de mathématiques Laurent Schwartz, École polytechnique},
title = {Klein Paradox and Superradiance for the charged Klein-Gordon Field},
url = {http://eudml.org/doc/11089},
volume = {2003-2004},
year = {2003-2004},
}

TY - JOUR
AU - Bachelot, Alain
TI - Klein Paradox and Superradiance for the charged Klein-Gordon Field
JO - Séminaire Équations aux dérivées partielles
PY - 2003-2004
PB - Centre de mathématiques Laurent Schwartz, École polytechnique
VL - 2003-2004
SP - 1
EP - 11
LA - eng
UR - http://eudml.org/doc/11089
ER -

References

top
  1. A. Bachelot. Asymptotic completeness for the Klein-Gordon equation on the Schwarzschild metric. Ann. Inst. Henri Poincaré - Physique théorique, 61 (4) : 411–441, 1994. Zbl0809.35141MR1311537
  2. A. Bachelot. Global properties of the wave equation on non globally hyperbolic manifolds. J. Math. Pures Appl., 81 : 35-65, 2002. Zbl1078.58016MR1994882
  3. A. Bachelot. Superradiance and Scattering of the charged Klein-Gordon Field by a Steplike Electrostatic Potential. J. Math. Pures Appl., to appear, 2004. Zbl1063.81095
  4. E. Bairamov, Ö. Çakar, A. M. Krall. An Eigenfunction Expansion for a Quadratic Pencil of a Schrödinger Operator with Spectral Singularities. J. Diff. Eqs., 151 : 268–289, 1999. Zbl0945.34067MR1669566
  5. A. Cohen, T. Kappeler. Scattering and Inverse Scattering for Steplike Potentials in the Schrödinger Equation. Indiana Univ. Math. J., 34 (1) : 127–180, 1985. Zbl0553.34015MR773398
  6. E.B. Davies, B. Simon. Scattering Theory for Systems with Different Spatial Asymptotics on the Left and Right. Comm. Math. Phys., 63 : 277–301, 1978. Zbl0393.34015MR513906
  7. P. Deift, E. Trubowitz. Inverse Scattering on the Line. Comm. Pure Appl. Math., 32 : 121–251, 1979. Zbl0388.34005MR512420
  8. G. W. Gibbons. Vacuum Polarization and the Spontaneous Loss of Charge by Black Holes. Comm. Math. Phys., 44 : 245–264, 1975. MR381610
  9. D. Häfner. Complétude asymptotique pour l’équation des ondes dans une classe d’espaces-temps stationnaires et asymptotiquement plats. Ann. Inst. Fourier (Grenoble), 51 : 779–833, 2001. Zbl0981.35031
  10. D. Häfner. Sur la théorie de la diffusion pour l’équation de Klein-Gordon dans la métrique de Kerr. Dissertationnes Mathematicae, 421 : 102 pp., 2003. Zbl1075.35093
  11. F. Melnyk. Scattering on Reissner-Nordstrøm metric for massive charged spin 1/2 fields. Ann. Henri Poincaré, 4(5) : 813–846, 2003. Zbl1106.83015MR2016993
  12. F. Melnyk. The Hawking effect for spin 1/2 fields. Comm. Math. Phys., 244(3) : 483–525, 2004. Zbl1062.83040MR2034486
  13. J-P. Nicolas. A non linear Klein-Gordon equation on Kerr metrics. J. Math. Pures Appl., 81(9) : 885–203, 2002. Zbl1029.83029MR1940372
  14. J-P. Nicolas. Dirac fields on asymptotically flat space-time. Dissertationnes Mathematicae, 408, 85 pp., 2002. Zbl1011.83015MR1952742
  15. R. Ruffini. The Dyadosphere of black holes and gamma-ray bursts. Astron. Astrophys. Suppl. Ser., 138(3) : 513–514, 1999. 
  16. S.N.M. Ruijsenaars, P.J.M. Bongaarts. Scattering theory for one-dimensional step potentials. Ann. Inst. Henri Poincaré, Sec. A, 26(1) : 1–17, 1977. Zbl0353.47004MR443712
  17. S.H. Tang, M. Zworski. Resonance expansions of scattered waves . Comm. Pure and Appl. Math., 53 : 1305–1334, 2000. Zbl1032.35148MR1768812

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.