Pseudospectral method with symplectic algorithm for the solution of time-dependent Schrödinger equations
Bian Xue-Bin(卞学滨)a)c), Qiao Hao-Xue(乔豪学)b), and Shi Ting-Yun(史庭云)a†
a State Key Laboratory of Magnetic Resonance and Atomic and Molecular Physics, Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, Wuhan 430071, China; b Department of Physics, Wuhan University, Wuhan 430072, China; c Graduate School of the Chinese Academy of Sciences, Beijing 100049, China
Abstract A pseudospectral method with symplectic algorithm for the solution of time-dependent Schr?dinger 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.
Received: 08 November 2006
Revised: 30 November 2006
Accepted manuscript online:
(Calculations and mathematical techniques in atomic and molecular physics)
Cite this article:
Bian Xue-Bin(卞学滨), Qiao Hao-Xue(乔豪学), and Shi Ting-Yun(史庭云) Pseudospectral method with symplectic algorithm for the solution of time-dependent Schrödinger equations 2007 Chinese Physics 16 1822
Altmetric calculates a score based on the online attention an article receives. Each coloured thread in the circle represents a different type of online attention. The number in the centre is the Altmetric score. Social media and mainstream news media are the main sources that calculate the score. Reference managers such as Mendeley are also tracked but do not contribute to the score. Older articles often score higher because they have had more time to get noticed. To account for this, Altmetric has included the context data for other articles of a similar age.
