Exact solution of the Landau-Lifshitz equations for a radiating charged particle in the Coulomb potential
Journal Article
·
· Annals of Physics (New York)
We solve exactly the classical non-relativistic Landau-Lifshitz equations of motion for a charged particle moving in a Coulomb potential, including radiation damping. The general solution involves the Painleve transcendent of type II. It confirms our physical intuition that a negatively charged classical particle will spiral into the nucleus, supporting the validity of the Landau-Lifshitz equation.
- OSTI ID:
- 21163673
- Journal Information:
- Annals of Physics (New York), Journal Name: Annals of Physics (New York) Journal Issue: 11 Vol. 323; ISSN 0003-4916; ISSN APNYA6
- Country of Publication:
- United States
- Language:
- English
Similar Records
Rotationally symmetric solutions of the Landau-Lifshitz and diffusion equations
Surplus angle and sign-flipped Coulomb force in projectable Horava-Lifshitz gravity
Hidden symmetry of the Landau-Lifshitz equation, hierarchy of higher equations, and the dual equation for an asymmetric chiral field
Journal Article
·
Mon May 01 00:00:00 EDT 2000
· Journal of Applied Physics
·
OSTI ID:20216238
Surplus angle and sign-flipped Coulomb force in projectable Horava-Lifshitz gravity
Journal Article
·
Sun Nov 14 23:00:00 EST 2010
· Physical Review. D, Particles Fields
·
OSTI ID:21509912
Hidden symmetry of the Landau-Lifshitz equation, hierarchy of higher equations, and the dual equation for an asymmetric chiral field
Journal Article
·
Wed Jul 01 00:00:00 EDT 1987
· Theor. Math. Phys.; (United States)
·
OSTI ID:5703376