Quantum Kinetic Theory and the Image Particle Method for Kinetic Simulation of Wakes in Plasma

This paper shows availability of the quantum mechanical model in addition to the previous classical physics, classical mechanics models. Quantum kinetic theory and the Image Particle Method are introduced to simulate charged particle fluxes, which allow to include effects of generated electric and magnetic fields in addition to all previous results for charged particle flows simulations in external electromagnetic fields. A gauge invariant Wigner function has been introduced in this paper for kinetic simulation of wakes, disturbances in plasma with formulation in terms of general electro-magnetic fields. This Wigner formulation is the natural language to describe quantum transport, and to monitor decoherence of macroscopic quantum states in interaction with the environment. According to this new “Image Particle Method”, the collision integrals, corresponding simulated collision operators for these “image particles” describe the effects from the generated electric and magnetic fields.