Nonlinear Quantum Wave Equation of Radiation Electron and Dissipative Systems

TL;DR

This paper introduces a nonlinear quantum wave equation that incorporates the radiative reaction force of electrons and models dissipative systems, addressing a gap in traditional Schrödinger equations.

Contribution

It presents a novel nonlinear quantum wave equation accounting for electron radiation effects and dissipation, extending the Schrödinger framework.

Findings

Derived nonlinear wave equation for radiative electrons

Models dissipative quantum systems with radiation effects

Provides a theoretical basis for radiation-including quantum dynamics

Abstract

As well known, an electron will produce radiative reaction force when the electron emits electromagnetism radiation. The electron radiative effect had not been considered in Schr\"{o}dinger wave equation. In this paper, we give the nonlinear quantum wave equations for the radiative electron and some dissipative systems.