The Symplectic Method For Solving 2-dimentional Atomic Model In Intense Laser Field

In this paper, we mainly discussed the symplectic method for solving TDSE of two-dimcnsional atomic model in intense laser field, the main work:1. We obtained the asymptotic boundary conditions of two-dimentional atomic model in intense laser field by Fourier transformation.Using the asymptotic boundary condition the problem about TDSE with initial conditions in the infinite space can be transformed into the problem with initial and boundary conditions in the finte space and can be transformed into the inhomogeneous canonic equations by substituting symmetric difference quotient for partial derivative. We proved the well posed character of the inhomogeneous canonic equations and constructed the symplectic algorithms .2. Because there is no exact solution for the initial ground-state wave function of two-dimensional problem , we reached an approximate initial groun-state wave function by variation principle as the initial value of numerical computation .3. The probability distribution and the average energy for two-dimensional hydrogen atom in the intense laser field are numerically computed using the symplectic scheme .The results are compared with theoretic analyses.