APPROXIMATION THEORY OF OSCILLATING FACTOR SUPPRESSING AMPLITUDE IN QUANTUM PROCESS AND ITS APPLICATIONS

The oscillating factor suppressing amplitude approximation is proposed in this paper as a basic method to study the evolution of a quantum system. By making use of this method, not only the quantum adiabatic approximation is described again, But also both the higher-order corrections for the rotation wave approximation and the influences of other levels on two-level approximation can be analytically investigated with the explicit discussion for the quantitative conditions under which the two approximations hold.