Imaginary Eigenvalue Solution in RPA and Phase Transition

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

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

Abstract
HTML
Reference
Related

PDF

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

[1]	HOU Zhan-Feng , ZHANG Yu , LIU Yu-Xin . Nuclear Shape Phase Transition in the Shell Model. Chinese Physics C, 2006, 30(S2): 48-52.
[2]	HUI Ping . Higher Order RPA Calculation of the Glueball Wave Function in 2+1-D SU(2) LGT. Chinese Physics C, 2005, 29(4): 345-349.
[3]	HUI Ping , ZHENG Tai-Yu , WANG Zhou-Fei . Approximated Calculation of the Glueball Mass in the 2+1-D SU(2) LGT with the RPA Method. Chinese Physics C, 2004, 28(6): 580-583.
[4]	HUI Ping . Approximated Calculation of the Vacuum Wave Function and Vacuum Energy of the LGT with RPA Method. Chinese Physics C, 2004, 28(5): 487-490.
[5]	HUI Ping . Seventh Order Glueball Mass of the 2+1-D SU(2)LGT in RPA. Chinese Physics C, 2004, 28(11): 1146-1149.
[6]	ZHANG Ying-Xun , WU Xi-Zhen , LI Zhu-Xia . Dynamical Behaviors of Liquid-Gas Phase Transition in Nuclei. Chinese Physics C, 2002, 26(10): 1065-1071.
[7]	PAN Yue-Wu , QU Sheng-Chun , CUI Qi-Liang , ZHANG Wei-Wei , LIU Xi-Zhe , LIU Jing , LIU Bing-Bing , GAO Chun-Xiao , ZOU Guang-Tian . Pressure-Induced Phase Transition of Nanocrystalline Zinc Sulfide. Chinese Physics C, 2001, 25(S1): 58-61.
[8]	YAN WenBiao , YANG ChunBin , CAI Xu . A Poissible Method to Determine the Order of QGP Phase Transitions. Chinese Physics C, 2000, 24(9): 852-857.
[9]	Hou Defu , Li Jiarong . The Self-consistent Study of Electroweak Transition. Chinese Physics C, 1994, 18(10): 928-935.
[10]	SONG Yong-Shen , CUI Jian-Ying , YANG Ji-Min , LU Gong-Ru , LIU Wen-Sheng . The Phase Transition in Z(N) Potts Spin Model: An Analytical Analysis. Chinese Physics C, 1992, 16(7): 588-595.
[11]	WANG Bao-Lin . Analytical Calculation of the Vibrator-Rotor Transition in the Sdg Interacting Boson Model. Chinese Physics C, 1992, 16(5): 475-480.
[12]	GAO Song , LI Jia-Rong . Coupling Constant in High Temperature QCD and Deconfinement Phase Transition. Chinese Physics C, 1991, 15(2): 117-122.
[13]	FENG Sheng-Qin , WANG Zheng-Qing . THE ANALYSIS OF THE PHASE TRANSITION MECHANISM IN THE EARLY UNIVERSE. Chinese Physics C, 1989, 13(11): 980-984.
[14]	LIU Bao-Hua , LI Jia-Rong . MEAN-FIELD THEORY AND RESTORATION OF CHIRAL SYMMETRY. Chinese Physics C, 1988, 12(6): 848-851.
[15]	WU Chong-Shi , ZENG Jin-Yan . NUCLEAR PAIRING PHASE TRANSITION. Chinese Physics C, 1988, 12(1): 95-101.
[16]	JING Gui-Ru , DING Lin-Kai , ZHU Qing-Qi , JING Cai-Liu . RING-LIKE EVENT OBSERVED IN SUPERHIGH ENERGY INTERACTION AND PHASE TRANSITION. Chinese Physics C, 1987, 11(5): 603-608.
[17]	LI Yang-Guo . COMPLEX AMPLITUDE OF GEOMETRICAL MODEL AND pp SCATTERING. Chinese Physics C, 1985, 9(1): 125-128.
[18]	YANG Shan-De , LANG Si-Xin , WANG Ke-Xie , WU Shi-Shu . ENERGY DEPENDENCE OF G MATRIX AND RPA. Chinese Physics C, 1984, 8(3): 337-345.
[19]	HAN HUI-YI , ZHEN CHANG-YIN , GENG TIAN-MING , WU HUI-FANG . EIGEN SOLUTION OF B-T EQUATION FOR COMPLEX SQUARE POTENTIAL WELL. Chinese Physics C, 1981, 5(6): 648-652.
[20]	WU HUI-FANG , Yu YOU-WEN , ZHANG ZONG-YIE . THE EIGENVALUES OF THE COMPLEX SQUARE WELL POTENTIAL. Chinese Physics C, 1981, 5(2): 211-216.

Access

Get Citation

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

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

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

Article Metric

Article Views(2052)
PDF Downloads(444)
Cited by(0)

Policy on re-use

To reuse of subscription content published by CPC, the users need to request permission from CPC, unless the content was published under an Open Access license which automatically permits that type of reuse.

通讯作者: 陈斌, bchen63@163.com

1.
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.