J 2015

Quantum theory of extended particle dynamics in the presence of EM radiation-reaction

CREMASCHINI, Claudio and Massimo TESSAROTTO

Basic information

Original name

Quantum theory of extended particle dynamics in the presence of EM radiation-reaction

Authors

CREMASCHINI, Claudio and Massimo TESSAROTTO

Edition

The European Physical Journal Plus, DE - Spolková republika Německo, 2015, 2190-5444

Other information

Language

English

Type of outcome

Článek v odborném periodiku

Field of Study

10308 Astronomy

Confidentiality degree

není předmětem státního či obchodního tajemství

References:

Organization unit

Institute of physics in Opava

UT WoS

000365731500001

Keywords in English

particle dynamics; quantum wave equation; electromagnetic radiation reaction

Tags

International impact, Reviewed

Links

GB14-37086G, research and development project. GP14-07753P, research and development project.
Změněno: 29/3/2021 14:09, Mgr. Pavlína Jalůvková

Abstract

V originále

In this paper a trajectory-based relativistic quantum wave equation is established for extended charged spinless particles subject to the action of the electromagnetic (EM) radiation-reaction (RR) interaction. The quantization pertains the particle dynamics, in which both the external and self EM fields are treated classically. The new equation proposed here is referred to as the RR quantum wave equation. This is shown to be an evolution equation for a complex scalar quantum wave function and to be realized by a first-order PDE with respect to a quantum proper time s. The latter is uniquely prescribed by representing the RR quantum wave equation in terms of the corresponding quantum hydrodynamic equations and introducing a parametrization in terms of Lagrangian paths associated with the quantum fluid velocity. Besides the explicit proper time dependence, the theory developed here exhibits a number of additional notable features. First, the wave equation is variational and is consistent