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

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

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

Shi Aimin¹, Wu Chengxun², Zhou Zhongyuan², Ding Peizhu²

1. Dalian Institute of Railway Technology, 116028;
2. Jilin University, Changchun 130023

Received:1997-03-12 Revised:1997-05-04 Online:1998-03-25 Published:1998-03-25

Abstract

Abstract: 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.

Key words: Hamiltonian system including explicitly time, norm-preserving and symplectic scheme, explicity symplectic scheme

CLC Number:

O562

Shi Aimin, Wu Chengxun, Zhou Zhongyuan, Ding Peizhu. SYMPLECTIC SCHEMES FOR TIME-EVOLUTION OF THE QUANTUM SYSTEM IN TIME-DEPENDENT EXTERNAL FIELD[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 1998, 15(2): 154-158.

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

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