An Quantum Theory of System with ExplicitTime-dependent Hamiltonian
JIANG Xun-dong,Hu Rong-ze (School of Science, Northeast University, Shenyang, 110006; Central Iron and Steel Research Institute,Beijing 100081 .China)
The ordinang form of Hamiltonian in the system of explicit time-dependence is given. A series quantum operators meeting the special commutation rejectin are constructed through the annihilation operators and the creation operators, then an invariant operator is obtained. The theory of operator algebra is established,so that the particular expression for the enengy level and wave function of the quantum oscillatory system is obtained. As a special example, the quantum theories for the one-dimensional quantum damped oscillatory system are discussed.
【CateGory Index】： O413.1