Figure 1: Landau states with different azimuthal indices and electron Bohmian trajectories.
Grey-scale plots show the transverse probability distributions |ψ|2 of the states (1) with radial quantum number n=0 and azimuthal numbers m=−1, 0, 1 (which correspond to the Landau levels (2) with N=0, 0, 1). Three-dimensional streamlines of the probability current in equation (3) (that is, Bohmian trajectories) inside these states are shown for three different radii r/wB=0.6, 1, 1.4, in the truncated azimuthal range ϕ|z=0ε(0, π), and for the Larmor propagation distance zε(0, v/Ω) (v is the electron velocity). Different trajectories are marked by different colours for the sake of convenience. The spiralling of the Bohmian trajectories at the maximal-intensity radii 
(indicated by the orange lines in the bottom planes) corresponds to the m-dependent internal rotational dynamics with frequencies ‹ω› of equation (4).
