Scattering and radiation damping in gyroscopic Lorentz electrodynamics

Letters in Mathematical Physics

Volumn 60, Issue 1, 2002, Pages 31-46

  Appel, Walter ^a,b,c   Kiessling, Michael K H ^a  

^a RUTGERS UNIVERSITY   (United States)

^b UNIVERSITÉ DE LYON   (France)

^c Lycée Henri Poincaré   (France)

Author keywords

Radiation damping; Scattering; Soliton; Spinning Lorentz electron

Indexed keywords

EID: 0013131633     PISSN: 03779017     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1015732519364     Document Type: Article

References (14)

1. Appel, W. and Kiessling, M. K.-H.: Mass and spin renormalization in Lorentz electrodynamics, Ann. of Phys. (N. Y.) 289 (2001), 24-83.
2. Dürr, D., Goldstein, S., Teufel, S. and Zanghi, N.; Scattering theory from microscopic first principles, Physica A 279 (2000), 416-431.
3. Jackson, J. D.: Classical Electrodynamics. 3rd edn, Wiley, New York, 1999.
4. Kiessling, M. K.-H.: Classical electron theory and conservation laws. Phys. Lett. A 258 (1999), 197-204.
5. Kunze, M.: Instability of the periodic motion of a particle interacting with a scalar wave field, Comm. Math. Phys. 195 (1998), 509-523.
6. Landau, L. and Lifshitz, E. M.: The Theory of Classical Fields, Pergamon Press, Oxford, 1962.
7. Misner, C. W., Thorne, K. S. and Wheeler, J. A.: Gravitation, W. H. Freeman., New York, 1973.
8. Nodvik, J. S.: A covariant formulation of classical electrodynamics for charges of finite extension. Ann. of Phys. (N. Y.) 28 (1964), 225-319.
9. Reed, M., and Simon, B.: Scattering Theory, Meth. Modern Math. Phys. 3, Academic Press, Orlando, 1979.
10. Rohrlich, F.: Classical Charged Particles, 2nd edn, Addison-Wesley, Redwood City, CA, 1990.
11. Sigal, I. M. and Soffer, A.: The N-particle scattering problem: asymptotic completeness for short-range systems, Ann. of Math. 126 (1987), 35-108.
12. Sigal, I. M. and Soffer, A.: Asymptotic completeness for N-particle long-range scattering, J. Amer. Math. Soc. 7 (1994), 307-334.
13. Soffer, A. and Weinstein, M.: Resonances, radiation damping, and instability in Hamiltonian nonlinear wave equations, Invent. Math. 136 (1999), 9-74.
14. Spohn, H.: Dynamics of charged particles and their radiation field, Monograph Preprint, TU München. 1999; http://www.arXiv.org/abs/math-ph/9908024.