Pseudospectral method with symplectic algorithm for the solution of time-dependent Schroedinger equations

摘要

A pseudospectral method with symplectic algorithm for the solution of time-dependent Schrodinger equations (TDSE) is introduced. The spatial part of the wavefunction is discretized into sparse grid by pseudospectral method and the time evolution is given in symplectic scheme. This method allows us to obtain a highly accurate and stable solution of TDSE. The effectiveness and efficiency of this method is demonstrated by the high-order harmonic spectra of one-dimensional atom in strong laser field as compared with previously published work. The influence of the additional static electric field is also investigated.