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SYMPLECTIC SCHEMES FOR TIME-EVOLUTION OF THE QUANTUM SYSTEM IN TIME-DEPENDENT EXTERNAL FIELD

Shi Aimin, Wu Chengxun, Zhou Zhongyuan, Ding Peizhu

CHINESE JOURNAL OF COMPUTATIONAL PHYSICS 1998, 15 (2): 154-158.

Abstract （262）

PDF （237KB）（1125）

2-order norm-preserving and symplectic scheme and 2-order explicit symplectic scheme for separable and linear Hamiltonian system including explicitly time are constituted and applied to compute interaction of the simulated laser field with an electron in the finite width and infinite depth potential well,the results are in good agreement with theoretical analysis.

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COMPUTING CLASSICAL TRAJECTORIES OF N₂ SYSTEM BY SYMPLECTIC ALGORITHM

Shi Aimin, Mu Yingkui, Ding Peizhu

CHINESE JOURNAL OF COMPUTATIONAL PHYSICS 1997, 14 (S1): 433-434.

Abstract （270）

PDF （107KB）（1085）

Classical trajectories of diatomic system N₂ are calculated by means of both Symplectic and R-K algorithms.It is shown that Symplectic algorithm keeps Symplectic structure of the system and its intrinsic qualities unchanged and consistent with the theory and experiment. R-K approach is not the case.

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SOLUTION OF THE GROUND STATE OF LITHIUM BY HARTREE-FOCK FINITE-ELEMENT METHOD

Shi Aimin, Ding Peizhu

CHINESE JOURNAL OF COMPUTATIONAL PHYSICS 1991, 8 (2): 111-121.

Abstract （309）

PDF （555KB）（961）

The energy of the ground Li-atom have been computed with the Hartree-Fock finite-element method. The relative error of the HFFEM result and HF limit value is-4.1×10^-4. After considering correlative correct, the relative error of HFFECM value and experimental value is-4.9×10-4.

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