Relativistic point dynamics and Einstein formula as a property of localized solutions of a nonlinear Klein-Gordon equation

DOI10.1007/s00220-013-1732-zzbMath1272.83010arXiv1206.0337OpenAlexW3101204585MaRDI QIDQ358357

Alexander Figotin, Anatoli V. Babin

Publication date: 8 August 2013

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1206.0337

zbMATH Keywords

Klein-Gordon equationinternal energyEinstein formulaKGlocalized wavenonlinear KG equationrelativistic point dynamics

Mathematics Subject Classification ID

Wave equation (35L05) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Gravitational energy and conservation laws; groups of motions (83C40) Special relativity (83A05)

Related Items (4)

A proposed model in which solitons exhibit electron and proton-like behavior ⋮ Neoclassical theory of elementary charges with spin of 1/2 ⋮ Newton's law for a trajectory of concentration of solutions to nonlinear Schrödinger equation ⋮ Explicit mass renormalization and consistent derivation of radiative response of classical electron

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Electrodynamics of balanced charges
• Nonlinear scalar field equations. II: Existence of infinitely many solutions
• Nonlinear scalar field equations. I: Existence of a ground state
• Wave-corpuscle mechanics for electric charges
• Some mathematical problems in a neoclassical theory of electric charges
• Solitary waves in the nolinear wave equation and in gauge theories
• Quantum field theory techniques in graphical enumeration
• On the point-particle (Newtonian) limit of the nonlinear Hartree equation
• Soliton dynamics in a potential
• Relativistic dynamics of accelerating particles derived from field equations
• Long time motion of NLS solitary waves in a confining potential
• Stable solutions of the logarithmic Schrödinger equation
• Relativistic Rigid Motion in One Dimension
• Gaussons: Solitons of the Logarithmic Schrödinger Equation
• Solitary waves for nonlinear Klein–Gordon–Maxwell and Schrödinger–Maxwell equations
• EFFECTIVE DYNAMICS FOR SOLITONS IN THE NONLINEAR KLEIN–GORDON–MAXWELL SYSTEM AND THE LORENTZ FORCE LAW
• Electromagnetic Two-Body Problem
• Relativistic Field Theories of Elementary Particles
• Einstein from `B' to `Z'

This page was built for publication: Relativistic point dynamics and Einstein formula as a property of localized solutions of a nonlinear Klein-Gordon equation