Study of Multiplicity of Hartree-Fock Solution

Jing Xiaogong; Zhao Guoquan; Yao Yujie; Yang Shande; Wu Shishu

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2024年10月30日

Chinese Physics C> 1993, Vol. 17> Issue(S3) : 303-309

Study of Multiplicity of Hartree-Fock Solution

Center of Theoretical Physics, Department of Physics, Jilin University, Changchun, Jilin, China

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Abstract：
By means of a generalized three-level solvable model, the self-consistent procedure for solving the Hartree-Fock (HF) equation is studied in detail. It is pointed that some attention should be paid to the multiplicity of the solution. Different criteria for choosing a proper solution are considered and discussed. The reason for the sudden jump of the HF solution in some force-parameter (FP) regions, the stability of the HF solution and the FP dependence of the solution are also investigated.

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[12]	Shen Yaosong , Ren Zhongzhou . Skyrme-Hartree-Fock Calculation on Exotic Nuclei. Chinese Physics C, 1997, 21(S2): 53-62.
[13]	Shen Yaosong , Ren Zhongzhou . Skyrme-Hartree-Fock Calculation on Exotic Nuclei. Chinese Physics C, 1997, 21(3): 248-256.
[14]	JING Xiaogong , ZHAO Guoquan , YAO Yujie , YANG Shande , WU Shishu . Study of Multiplicity of Hartree-Fock Solutions. Chinese Physics C, 1993, 17(11): 1026-1031.
[15]	Yao Yujie , Jing Xiaogong , Zhao Guoquan , Yang Shande , Wu Shishu . Choice of Single Particle Potentials in a Manv-Bodv calcu-lation-Hartree-Fock and Mass Operator Potential. Chinese Physics C, 1990, 14(S1): 83-91.
[16]	LIAO Ji-Zhi . ELECTROMAGNETIC TRANSITIONS OF NUCLEI IN ANGULAR MOMENTUM PROJECTION HARTREE-FOCK METHOD. Chinese Physics C, 1989, 13(9): 837-841.
[17]	LIAO Ji-Zhi . APPROXIMATE ANGULAR MOMENTUM PROJECTION OF THE DEFORMED HARTREE-FOCK STATE FOR K=1. Chinese Physics C, 1987, 11(5): 682-689.
[18]	PAN Zheng-Ying , QIU Zhi-Hong , SUN Yue-De . OCCUPATION RENORMALIZED HARTREE-FOCK APPROXIMATION IN LIPKIN MODEL. Chinese Physics C, 1984, 8(3): 298-305.
[19]	SHI Xiang-Jun . STUDY ON BINDING PROBLEM OF Δ(1232) IN NUCLEI WITH HARTREE-FOCK METHOD. Chinese Physics C, 1983, 7(1): 76-85.
[20]	SHI Xiang-Jun . THE APPLICATION OF OBEP IN THE HARTREE-FOCK CALCULATION FOR SOME FINITE NUCLEI. Chinese Physics C, 1983, 7(2): 223-228.

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Jing Xiaogong, Zhao Guoquan, Yao Yujie, Yang Shande and Wu Shishu. Study of Multiplicity of Hartree-Fock Solution[J]. Chinese Physics C, 1993, 17(S3): 303-309.

Jing Xiaogong, Zhao Guoquan, Yao Yujie, Yang Shande and Wu Shishu. Study of Multiplicity of Hartree-Fock Solution[J]. Chinese Physics C, 1993, 17(S3): 303-309. shu

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Study of Multiplicity of Hartree-Fock Solution

Center of Theoretical Physics, Department of Physics, Jilin University, Changchun, Jilin, China

Received Date: 1992-03-24

Abstract: By means of a generalized three-level solvable model, the self-consistent procedure for solving the Hartree-Fock (HF) equation is studied in detail. It is pointed that some attention should be paid to the multiplicity of the solution. Different criteria for choosing a proper solution are considered and discussed. The reason for the sudden jump of the HF solution in some force-parameter (FP) regions, the stability of the HF solution and the FP dependence of the solution are also investigated.