Symplectic Algorithm for Time-independent Schr&ouml;dinger Equation in the Strong Field

LIU Xue-shen; QI Yue-ying; LIU Xiao-yan; DIN G Pei-zhu; ZHOU Zhong-yuan

doi:10.11804/NuclPhysRev.19.S1.138

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Article Navigation > Nuclear Physics Review > 2002 > 19(Suppl): 138-140

LIU Xue-shen, QI Yue-ying, LIU Xiao-yan, DIN G Pei-zhu, ZHOU Zhong-yuan. Symplectic Algorithm for Time-independent Schrödinger Equation in the Strong Field[J]. Nuclear Physics Review, 2002, 19(Suppl): 138-140. doi: 10.11804/NuclPhysRev.19.S1.138

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LIU Xue-shen, QI Yue-ying, LIU Xiao-yan, DIN G Pei-zhu, ZHOU Zhong-yuan. Symplectic Algorithm for Time-independent Schrödinger Equation in the Strong Field[J]. Nuclear Physics Review, 2002, 19(Suppl): 138-140. doi: 10.11804/NuclPhysRev.19.S1.138

Symplectic Algorithm for Time-independent Schrödinger Equation in the Strong Field

doi: 10.11804/NuclPhysRev.19.S1.138

Institute of Atomic and Molecular Physics; Jilin Univer sity; Changchun 130023; China

Received Date: 1900-01-01
Rev Recd Date: 1900-01-01
Publish Date: 2002-07-20

Abstract

In this paper we have described the symplectic fo rm for 1-dimensional time-independent Schrdinger equation and both the symplec tic scheme-matrix method and the symplectic scheme-shooting method for solving eigenvalue problem. The Wronskian-preserving algorithm for computing linear i ndependent solutions in the outmost space is also reported.
- time-independent Schrö,
- dinger equation,
- the symplectic sche me-shooting method,
- discrete state,
- Wronskian-preserving algorithm
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通讯作者: 陈斌, bchen63@163.com

1.
沈阳化工大学材料科学与工程学院沈阳 110142

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Symplectic Algorithm for Time-independent Schrödinger Equation in the Strong Field

doi: 10.11804/NuclPhysRev.19.S1.138

Institute of Atomic and Molecular Physics; Jilin Univer sity; Changchun 130023; China

Received Date: 1900-01-01
Rev Recd Date: 1900-01-01
Publish Date: 2002-07-20

Key words:

time-independent Schrö /
dinger equation /
the symplectic sche me-shooting method /
discrete state /
Wronskian-preserving algorithm

Abstract: In this paper we have described the symplectic fo rm for 1-dimensional time-independent Schrdinger equation and both the symplec tic scheme-matrix method and the symplectic scheme-shooting method for solving eigenvalue problem. The Wronskian-preserving algorithm for computing linear i ndependent solutions in the outmost space is also reported.

Citation: