Electron gas under the discontinuous magnetic field of cylindrical symmetry

We study the states of 3D-electron gas in non-homogeneous magnetic field. It is supposed that the step of magnetic field, at which field changes its sign, lies on the cylindrical surface. The eigen value problem is solved for are different parameters of the system. The equilibrium statistics in the limit of large quantum lifetime are considered as well. It is predicted that the system characterized by quasi-zero-dimensional spectra with large density of states; snakes orbits lead to the effective charge transfer; an appearance of the magnetic field step strongly modify the coordinate dependence of carriers concentration.