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Numerical solution of one-dimensional time-independent Schrödinger equation by using symplectic schemes

✍ Scribed by Xue-Shen Liu; Xiao-Yan Liu; Zhong-Yuan Zhou; Pei-Zhu Ding; Shou-Fu Pan

Publisher: John Wiley and Sons
Year: 2000
Tongue: English
Weight: 159 KB
Volume: 79
Category: Article
ISSN: 0020-7608
DOI: 10.1002/1097-461x(2000)79:6<343::aid-qua2>3.0.co;2-o

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Numerical Solution of the two-dimensiona

Numerical Solution of the two-dimensional time independent Schrödinger Equation by symplectic schemes

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## Abstract The solution of the two‐dimensional time‐independent Schrödinger equation is considered by partial discretization. The discretized problem is treated as an ordinary differential equation problem and solved numerically by asymptotically symplectic methods. The problem is then transformed

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Recently, we proposed an iteration method for solving the eigenvalue w problem of the time-independent Schrodinger equation H. Meißner and E. O. Steinborn, Ž .x Int. J. Quantum Chem. 61, 777 1997 . The eigenfunctions are expanded in terms of a Ž . basis set. The wave-function expansion coefficients