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Exact solution of the Schrödinger equation for the time-dependent harmonic oscillator
Authors:Yishen Li  Jingsong He
Affiliation:(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 Schrdinger equation for the time_dependent harmonic oscillator only need to solve an oscillation equation with respect to space variable and a time_dependent Schrdinger equation.
Keywords:time_dependent harmonic oscillator  Schrdinger equation  Lax equation  recursion operator.
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