Quantum Kinetic Theory and the Quantum Image Particle Method for Kinetic Simulation of Wakes Including Particles with Spin
摘要
Availability of the quantum mechanical model with particle spin is demonstrated in addition to the previous classical physics, classical mechanics models. The spin is introduced using a spin transform, or Q-transform. Quantum kinetic theory with particle spin and the quantum Image Particle Method are formulated for simulations of 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 spin transform, or Q-transform, and gauge invariant Wigner function have been introduced in this paper for kinetic simulation of wakes, disturbances in plasma with formulation in terms of general electro-magnetic fields. These spin transform and Wigner formulation are the natural ways to describe quantum transport, and to monitor decoherence of macroscopic quantum states in interaction with the environment. According to this new quantum Image Particle Method with particle spin, the collision integrals, corresponding simulated collision operators for these “image particles” describe the effects from the generated electric and magnetic fields. In addition to quantum generalization these models show obvious comparison and correspondence with previous both analytical, and numerical Boltzmann and Vlasov models.