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

@article{50362,
   author = {Cremaschini, Claudio and Tessarotto, Massimo},
   article_location = {DE - Spolková republika Německo},
   article_number = {8},
   doi = {http://dx.doi.org/10.1140/epjp/i2015-15166-5},
   keywords = {particle dynamics; quantum wave equation; electromagnetic radiation reaction},
   language = {eng},
   issn = {2190-5444},
   journal = {The European Physical Journal Plus},
   title = {Quantum theory of extended particle dynamics in the presence of EM radiation-reaction},
   url = {https://link.springer.com/article/10.1140/epjp/i2015-15166-5},
   volume = {130},
   year = {2015}
}

TY  - JOUR
ID  - 50362
AU  - Cremaschini, Claudio - Tessarotto, Massimo
PY  - 2015
TI  - Quantum theory of extended particle dynamics in the presence of EM radiation-reaction
JF  - The European Physical Journal Plus
VL  - 130
IS  - 8
SP  - "166-1"-"166-21"
EP  - "166-1"-"166-21"
SN  - 21905444
KW  - particle dynamics
KW  - quantum wave equation
KW  - electromagnetic radiation reaction
UR  - https://link.springer.com/article/10.1140/epjp/i2015-15166-5
N2  - 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
ER  - 

CREMASCHINI, Claudio and Massimo TESSAROTTO. Quantum theory of extended particle dynamics in the presence of EM radiation-reaction. \textit{The European Physical Journal Plus}. DE - Spolková republika Německo, 2015, vol.~130, No~8, p.~''166-1''-''166-21'', 21 pp. ISSN~2190-5444. Available from: https://dx.doi.org/10.1140/epjp/i2015-15166-5.