Imaginary Eigenvalue Solution in RPA and Phase Transition

YAO Yu-Jie; Jing Xiao-Gong; ZHAO Guo-Quan; WU Shi-Shu

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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(8) : 757-762

Imaginary Eigenvalue Solution in RPA and Phase Transition

Centre for Theoretical Physics and Physics Department,Jilin University,Changchun 130023

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Abstract：
The phase transition (PT) of a many-particle system with a close-shell configuration,the stability of the Hartree-Fock(HF) solution and the random phase approximation (RPA) are studied by means of a generalized three-level solvable model.The question whether the occurrence of an imaginery eigenvalue solution in RPA (OISA) may be considered as a signature of PT is explored in some detail,It is found that there is no close relation between OISA and PT.Generally,OISA shows that RPA becomes poor.

References

[1]

Thouless,Nucl.Phys. ,21(1960),225,22(1961),78.[2]Jiang et al. ,Phys. Rev. Lett. ,61(1988),38.[3]Wu Shishu et al. .Chinese Phys.Lett. ,8(1991).454.[4]Hecht , Nucl. Phys. , 62 (1965 ) ,1.[5]Yao Yujie et al. ,High Energy and Nuclear Physics, 14(1990),83.[6]吴式枢，中国科学，16(1973),255,5(1974),471;Wu Shishu,Scientia Sinica,l6(1973),347

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YAO Yu-Jie, Jing Xiao-Gong, ZHAO Guo-Quan and WU Shi-Shu. Imaginary Eigenvalue Solution in RPA and Phase Transition[J]. Chinese Physics C, 1993, 17(8): 757-762.

YAO Yu-Jie, Jing Xiao-Gong, ZHAO Guo-Quan and WU Shi-Shu. Imaginary Eigenvalue Solution in RPA and Phase Transition[J]. Chinese Physics C, 1993, 17(8): 757-762. 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

Imaginary Eigenvalue Solution in RPA and Phase Transition

Corresponding author: YAO Yu-Jie,

Centre for Theoretical Physics and Physics Department,Jilin University,Changchun 130023

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1993-08-05

Abstract: The phase transition (PT) of a many-particle system with a close-shell configuration,the stability of the Hartree-Fock(HF) solution and the random phase approximation (RPA) are studied by means of a generalized three-level solvable model.The question whether the occurrence of an imaginery eigenvalue solution in RPA (OISA) may be considered as a signature of PT is explored in some detail,It is found that there is no close relation between OISA and PT.Generally,OISA shows that RPA becomes poor.