Study of Multiplicity of Hartree-Fock Solutions

JING Xiaogong; ZHAO Guoquan; YAO Yujie; YANG Shande; WU Shishu

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《中国物理C》（英文）编辑部

2024年10月30日

Chinese Physics C> 1993, Vol. 17> Issue(11) : 1026-1031

Study of Multiplicity of Hartree-Fock Solutions

Jilin,University,130023

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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 some detail.It is pointed out that due attention must be paid for the multiplicity of solutions.Different criteria for the choice of an adequate solution are considered and discussed.Further,the reason of the sudden jump of the HF solution in certain force-parameter(FP) region,the stability of the HF solution and its dependence on FPs are investigated.

References

[1]	Y. J. Yao et al.，High Energy Phys. and Nucl..14(1990),83.[3]D. J. Thouless,Nucl. Phys. ,21(1960),225.[3]S. S. Wu et al. .Chinese Phys. Lett. , 8 (1991) , 454.

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[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 Solutions[J]. Chinese Physics C, 1993, 17(11): 1026-1031.

JING Xiaogong, ZHAO Guoquan, YAO Yujie, YANG Shande and WU Shishu. Study of Multiplicity of Hartree-Fock Solutions[J]. Chinese Physics C, 1993, 17(11): 1026-1031. shu

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Received: 1900-01-01
Revised: 1900-01-01

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沈阳化工大学材料科学与工程学院沈阳 110142

Study of Multiplicity of Hartree-Fock Solutions

Corresponding author: JING Xiaogong,

Jilin,University,130023

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1993-11-05

Abstract: By means of a generalized three-level solvable model,the self-consistent procedure for solving the Hartree-Fock(HF) equation is studied in some detail.It is pointed out that due attention must be paid for the multiplicity of solutions.Different criteria for the choice of an adequate solution are considered and discussed.Further,the reason of the sudden jump of the HF solution in certain force-parameter(FP) region,the stability of the HF solution and its dependence on FPs are investigated.