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应用辛算法计算强激光场中的一维模型氢原子 被引量:1

Colculation by Useing Symplectic Method for One-dimensional H in Inten se Laser Field
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摘要 采用辛算法计算并讨论了氢原子在不同峰值强度或不同脉宽下的谐波谱 The time-dependent Schrdinger equation with boundary co nd ition for one-dimentionanl hydrogen atom in intense laser field can be transfor med into inhomogeneous canonic equations by substituting symmetric difference qu otient for partial derivative. The general solutions of the inhomogencous canoni c equations and the particular solutions of the corresponding homogendous ca nonic equations are both generated by symplectic transformation. Therefore t he symplectic method can used to compute them. Moreover the high-order harmonic s and its corresponding bound probability of the one-dimensional hydrogen atom in the laser field are discussed when the laser pulse or the intensity is change d.The results that we obtained are in agreement with other theoretical results.
出处 《原子核物理评论》 CAS CSCD 北大核心 2002年第z1期134-137,共4页 Nuclear Physics Review
基金 国家自然科学基金资助项目( 197710 4 1 10 0 74 019 19874 0 2 5) 国家重点基础研究专项经费资助项目(G19990 32 80 4 )~~
关键词 激光与原子相互作用 谐波谱 束缚态几率 high-order harmonics spectrum bound probability symplecti c method
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  • 1[1]Liu W C, Clark C W. Closed-form Solution of the Schrdinger Equation for a Model One-demensional Hydrogen Atom[J]. J Phys, 1992, B25: L517.
  • 2刘晓艳,刘学深,周忠源,丁培柱.一维强场模型研究中的非齐线性正则方程的辛算法[J].计算物理,2002,19(1):62-66. 被引量:4
  • 3[3]Zhou Z Y, Ding P Z. Conservation Quantities of the Explicit Symplectic Scheme for Time-evolution of Quantum System[J], Chinese Journal of Atomic and Molecalar Physics, 1997, 14(2): 175.
  • 4[4]Liu Xueshen, Liu Xiaoyan, Zhou Zhongyuan, et al. Numerical Solution of One-dimensional Time-independent Schrdinger Equation by Using Symplectic Schemes[J]. Intern J Quantum Chem, 2000, 79: 6 343.
  • 5周忠源,朱颀人,丁培柱,潘守甫.激光场中H原子的多光子电离速率[J].强激光与粒子束,2000,12(2):169-171. 被引量:2

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