(1) Department of Mathematics, University of Science and Technology of China, 230026 Hefei, China;(2) Nonlinear Science Center, University of Science and Technology of China, 230026 Hefei, China
Abstract:
By using the soliton theory, it is known that the exact solutions of the Schrdinger equation for the time_dependent harmonic oscillator only need to solve an oscillation equation with respect to space variable and a time_dependent Schrdinger equation.