A Non-Hermitian Approach of Dyson Boson Expansion to Interacting Boson Model

DENG Wei-Zhen; YANG Ze-Sen; WANG Yu-Cheng

近期发现有不法分子冒充我刊与作者联系，借此进行欺诈等不法行为，请广大作者加以鉴别，如遇诈骗行为，请第一时间与我刊编辑部联系确认（《中国物理C》（英文）编辑部电话：010-88235947,010-88236950），并作报警处理。

本刊再次郑重声明：

（1）本刊官方网址为cpc.ihep.ac.cn和https://iopscience.iop.org/journal/1674-1137

（2）本刊采编系统作者中心是投稿的唯一路径，该系统为ScholarOne远程稿件采编系统，仅在本刊投稿网网址（https://mc03.manuscriptcentral.com/cpc）设有登录入口。本刊不接受其他方式的投稿，如打印稿投稿、E-mail信箱投稿等，若以此种方式接收投稿均为假冒。

（3）所有投稿均需经过严格的同行评议、编辑加工后方可发表，本刊不存在所谓的“编辑部内部征稿”。如果有人以“编辑部内部人员”名义帮助作者发稿，并收取发表费用，均为假冒。

《中国物理C》（英文）编辑部

2024年10月30日

Chinese Physics C> 1993, Vol. 17> Issue(10) : 907-911

A Non-Hermitian Approach of Dyson Boson Expansion to Interacting Boson Model

Peking University,100871

Abstract
HTML
Reference
Related

PDF

Abstract：
Through boson expansion and the modified Jancovici-Schiff substitution a 1-to-1 corre-spondence between fermion collective pair space and the interacting boson space is obtained.The boson mappings of fermion operators are uniquely determined and the IBM Hamiltonian takes a non-Hermitian form.The calculation of fermion matrix elements and spurious problem are also discussed.

References

[1]

C. T. Li,Phys. Lett. ,120B(1983),251.T. S. Yang, Y. Lin H. Qi,Nucl. Phys. ,A421(1984),297c.[2]D. Janssen, F. DonaU, S. Frauendorf, R. V. Jolos,Nucl. Phys. ,A172(1971),145.[3]K. Takada,Nucl. Phys. ,A439(1985),489.[4]T. S, Yang. A. Arima,H. Qi,T. Otsuka, X. H. Li,"Modified Dyson mapping and a generalized O-A-I method for non-degenerate j shells",Preprint.[5]H. B. Geyer,F. J. W. Hahne,Nucl. Phys,A363(1981),45.[6]杨泽森，高能物理与核物理，8(1984).75.

[1]	LU Li-Jun , ZHANG Jin-Fu . Low-Lying Spectra and Electromagnetic Transition Rates in ^140—162Gd in the Interacting Boson Model. Chinese Physics C, 2006, 30(2): 128-133.
[2]	ZHANG Yu , HOU Zhan-Feng , LIU Yu-Xin . Boson Number Dependence of the Quantities Sensitive to Phase Transition in the Interacting Bosons Model. Chinese Physics C, 2006, 30(S2): 90-93.
[3]	LU Dao-Ming , PING Jia-Lun . Study of Platinum Isotopes: A Comparison of the Fermion Dynamical Symmetry Model and the Interacting Boson Model. Chinese Physics C, 2004, 28(2): 171-176.
[4]	FAN Ti-Gui , LU Li-Jun , ZHANG Jin-Fu . Low-Lying Spectra and Electromagnetic Transition Rates in ^164—182Hf in the Interacting Boson Model. Chinese Physics C, 2004, 28(S1): 119-122.
[5]	LUO Yan-An , PAN Feng , NING Ping-Zhi , Jerry P . SD-Pair Shell Model and Proton-Neutron Interacting Boson Model. Chinese Physics C, 2004, 28(S1): 87-89.
[6]	Shao Bin . Dyson Boson Realization of the Fermion Dynamical Symmetry SP(10) Model with G Pairs. Chinese Physics C, 1994, 18(1): 27-36.
[7]	SANG Jian-Ping . s′ Boson and the S-D Truncation in the IBM. Chinese Physics C, 1992, 16(5): 423-430.
[8]	DENG Wei-Zhen , YANG Ze-Sen . Hermitian Boson Expansion Approach of IBM Toward Cross Shell Excitation. Chinese Physics C, 1992, 16(1): 75-81.
[9]	DAI Zi-Gao , FU De-Ji , LIANG Shi-Dong , XU Gong-Ou . The Solution of the Interacting SPD Boson Model with Continuous Variables Representation on Giant Dipole Resonances. Chinese Physics C, 1991, 15(6): 569-576.
[10]	LONG Gui-Lu , SUN Hong-Zhou . GROUP CHAIN CHECK ON THE PROTON-NEUTRON INTERACTING BOSON MODEL COMPUTER CODE NPBOS. Chinese Physics C, 1989, 13(9): 849-855.
[11]	LIU Yong , SANG Jian-Ping . THE MOMENT OF INERTIA IN THE INTERACTING BOSON-FERMION MODEL. Chinese Physics C, 1988, 12(5): 644-651.
[12]	TU Chuan-Shi . REALIZATION OF THE EMBEDDING OF LIESUBAL GEBRA IN THE CASE OF INTERACTING BOSON MODEL. Chinese Physics C, 1987, 11(5): 634-643.
[13]	DI Yao-Min . F-SPIN BREAKING IN IBM. Chinese Physics C, 1985, 9(4): 461-466.
[14]	ZHU Pei-Yu , CAO Yu-Fang , WU You-Shi . THE SPIN (6) LIMIT OF INTERACTING BOSON-FERMION MODEL Ⅱ. Chinese Physics C, 1985, 9(2): 154-160.
[15]	YANG Ze-Sen(Tse-sen Yang) . DYSON'S BOSON EXPANSION AND THE INTERACTING BOSON MODEL. Chinese Physics C, 1985, 9(3): 341-348.
[16]	XU Gong-Ou , YANG Ya-Tian , GU Jin-Nan . COMPARISON BETWEEN THE BOHR-MOTTELSON MODEL AND THE INTERACTING BOSON MODEL. Chinese Physics C, 1984, 8(3): 352-360.
[17]	LIU YONG , TIAN XIAO-CEN , YANG TSE-SEN . A MICROSCOPIC CALCULATION OF THE COLLECTIVE SPECTRA OF THE NEUTRON CONFIGURATIONS (CLOSED SHELLS)⁵⁰ (d_5/2g_7/2s_1/2d_3/2h_1/2)¹² BASED ON DYSON REPRESENTATION OF THE INTERACTING BOSON MODEL. Chinese Physics C, 1983, 7(6): 724-734.
[18]	ZHANG XI-ZHEN , LI CHU-HSIA , . INTERACTING BOSON-FERMION MODEL AND. Chinese Physics C, 1982, 6(3): 347-354.
[19]	WU RUA-CHUAN . INTERACTING BOSON MODEL FOR ROTATIONAL STATES OF NEGATIVE PARITY. Chinese Physics C, 1982, 6(5): 601-608.
[20]	YANG TSE-SEN , LIU YONG , TIAN XIAO-CEN . A DYSON REPRESENTATION OF THE INTERACTING BOSON MODEL WITH PAIRING PLUS QUADRUPOLE PAIRING PLUS QUADRUPOLE-QUADRUPOLE FORCES. Chinese Physics C, 1982, 6(4): 472-479.

Access

Get Citation

DENG Wei-Zhen, YANG Ze-Sen and WANG Yu-Cheng. A Non-Hermitian Approach of Dyson Boson Expansion to Interacting Boson Model[J]. Chinese Physics C, 1993, 17(10): 907-911.

DENG Wei-Zhen, YANG Ze-Sen and WANG Yu-Cheng. A Non-Hermitian Approach of Dyson Boson Expansion to Interacting Boson Model[J]. Chinese Physics C, 1993, 17(10): 907-911. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

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

Article Metric

Article Views(2427)
PDF Downloads(449)
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, [email protected]

1.
沈阳化工大学材料科学与工程学院沈阳 110142

A Non-Hermitian Approach of Dyson Boson Expansion to Interacting Boson Model

Corresponding author: DENG Wei-Zhen,

Peking University,100871

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1993-10-05

Abstract: Through boson expansion and the modified Jancovici-Schiff substitution a 1-to-1 corre-spondence between fermion collective pair space and the interacting boson space is obtained.The boson mappings of fermion operators are uniquely determined and the IBM Hamiltonian takes a non-Hermitian form.The calculation of fermion matrix elements and spurious problem are also discussed.