We seek for an oscillating center solution of the wave function satisfying the Schrödinger equation for a nonrelativistic charge particle in an arbitrary external field, where the oscillating center of physical system is a motion governing by a guidance formula of the classical mechanics and at the same time, the physical system obeys the rule of quantum mechanics. In terms of our approach, one enables to know how quantum process may actually come about. The results are applied to analyze the Landau level. We explain successfully that the orbit of oscillator center for the Landau level is circle.