Magnetic diffusion effect of Landau states

This study aims to explore the magnetic diffusion effect of Landau states from the perspective of quantum mechanics while the magnetic diffusion often occurs in plasmas physics. By introducing the entangled state representation, we examine how the Landau state diffuses in the presence of magnetic diffusion. We also establish the master equation of the density operator corresponding to magnetic diffusion and solve it, and we find that the Landau state evolves into a Laguerre-polynomial-weighted chaotic state.