20 citations · 59 across the 11 of their papers we have counts for
13 papers
Explicit mass renormalization and consistent derivation of radiative response of classical electron
Anatoli Babin
The radiative response of the classical electron is commonly described by the Lorentz-Abraham-Dirac (LAD) equation. Dirac's derivation of this equation is based on energy and momen…
Newton's law for a trajectory of concentration of solutions to nonlinear Schrodinger equation
Anatoli Babin, Alexander Figotin
One of important problems in mathematical physics concerns derivation of point dynamics from field equations. The most common approach to this problem is based on WKB method. Here…
Neoclassical Theory of Elementary Charges with Spin of 1/2
Anatoli Babin, Alexander Figotin
We advance here our neoclassical theory of elementary charges by integrating into it the concept of spin of 1/2. The developed spinorial version of our theory has many important fe…
Relativistic point dynamics and Einstein formula as a property of localized solutions of a nonlinear Klein-Gordon equation
Anatoli Babin, Alexander Figotin
Einstein's relation E=Mc^2 between the energy E and the mass M is the cornerstone of the relativity theory. This relation is often derived in a context of the relativistic theory f…
Relativistic dynamics of accelerating particles derived from field equations
Anatoli Babin, Alexander Figotin
In relativistic mechanics the energy-momentum of a free point mass moving without acceleration forms a four-vector. Einstein's celebrated energy-mass relation E=mc^2 is commonly de…
Electrodynamics of balanced charges
Anatoli Babin, Alexander Figotin
In this work we modify the wave-corpuscle mechanics for elementary charges introduced by us recently. This modification is designed to better describe electromagnetic (EM) phenomen…