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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 |
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| Cite this article: |
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BIAN Xue-Bin, QIAO Hao-Xue, SHI Ting-Yun 2006 Chin. Phys. Lett. 23 2403-2406 |
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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.
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| Keywords:
31.15.-p
03.65.-w
32.80.Qk
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Published: 01 September 2006
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| PACS: |
31.15.-p
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(Calculations and mathematical techniques in atomic and molecular physics)
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03.65.-w
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(Quantum mechanics)
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32.80.Qk
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(Coherent control of atomic interactions with photons)
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