PIRSA:08040069

Particle dynamics in a relativistic invariant stochastic medium

Cabo, A. (2008). Particle dynamics in a relativistic invariant stochastic medium. Perimeter Institute. https://pirsa.org/08040069

Cabo, Alejandro. Particle dynamics in a relativistic invariant stochastic medium. Perimeter Institute, Apr. 22, 2008, https://pirsa.org/08040069 

          @misc{ pirsa_PIRSA:08040069,
            doi = {10.48660/08040069},
            url = {https://pirsa.org/08040069},
            author = {Cabo, Alejandro},
            keywords = {Quantum Foundations},
            language = {en},
            title = {Particle dynamics in a relativistic invariant stochastic medium},
            publisher = {Perimeter Institute},
            year = {2008},
            month = {apr},
            note = {PIRSA:08040069 see, \url{https://pirsa.org}}
          }

Alejandro Cabo Instituto de Cibernética Matemática y Física

DOI 10.48660/08040069
Collection
Talk Type Scientific Series
Subject

Abstract

The dynamics of particles moving in a medium defined by its relativistically invariant stochastic properties is investigated. For this aim, the force exerted on the particles by the medium is defined by a stationary random variable as a function of the proper time of the particles. The equations of motion for a single one-dimensional particle are obtained and numerically solved. A conservation law for the drift momentum of the particle during its random motion is shown. Moreover, the conservation of the mean value of the total linear momentum for two particles repelling each other according to the Coulomb interaction also follows. Therefore, the results indicate the realization of a kind of stochastic Noether theorem in the system under study.