B-Spline with Symplectic Algorithm Method for Solution of Time-Dependent Schrödinger Equations
BIAN Xue-Bin1,3, QIAO Hao-Xue2, SHI Ting-Yun1
1State Key Laboratory of Magnetic Resonance and Atomic and Molecular Physics, Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, Wuhan 430071
2Department of Physics, Wuhan University, Wuhan 430072
3Graduate School of the Chinese Academy of Sciences, Beijing 100049
B-Spline with Symplectic Algorithm Method for Solution of Time-Dependent Schrödinger Equations
BIAN Xue-Bin1,3;QIAO Hao-Xue2;SHI Ting-Yun1
1State Key Laboratory of Magnetic Resonance and Atomic and Molecular Physics, Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, Wuhan 430071
2Department of Physics, Wuhan University, Wuhan 430072
3Graduate School of the Chinese Academy of Sciences, Beijing 100049
Abstract： A B-spline with the symplectic algorithm method for the solution of time-dependent Schrödinger equations (TDSEs) is introduced. The spatial part of the wavefunction is expanded by B-spline and the time evolution is given in a symplectic scheme. This method allows us to obtain a highly accurate and stable solution of TDSEs. The effectiveness and efficiency of this method is demonstrated by the high-order harmonic spectra of one-dimensional atoms in comparison with other references.
2006, Vol. 23 
