Relation of Dawson Furnstahl's Empty Sea Ansatz to Dirac's Hole Theory

ZHANG Hai-Xia; WU Shi-Shu; YAO Yu-Jie

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> 2004, Vol. 28> Issue(12) : 1361-1365

Relation of Dawson Furnstahl's Empty Sea Ansatz to Dirac's Hole Theory

吉林大学物理学院长春 130023

Abstract
HTML
Reference
Related

PDF

Abstract：
There are two methods to take account of the contribution of negative energy states in the relativistic random phase approximation. One is due to Dawson and Furnstahl. They made the ansatz that the dirac sea is empty. The other is the Dirac hole theory, which postulated that the sea should be fully occupied. The two methods seem contradictory concerning the way through which the negative–energy states contribute. The relation between the two theories is studied and the conditions under which the Dawson-Furnstahl theory is a good approximation to the Dirac theory are enunciated.

References

[1]

.Dawson J F, Furnstahl R J. Phys. Rev. C, 1990, 42: 20092. Serot B D. Rep. Prog. Phys. , 1992, 55: 1855; Serot B D, Walecka J D. Int . J. Mod. Phys. E, 1997, 6: 5153. Serot B D, Walecka J D. Adv. Nucl. Phys. , 1986, 16: 1; Ring P. Prog. Part. Nucl. Phys. , 1996, 37: 1934. Ring P et al. Nucl. Phys. A, 2001, 649: 2495. MA Z Y. Commun. Theor. Phys. ( Beijing, China) , 1999, 32: 493;Vretenar D, Wandelt A, Ring P. Phys. Lett . B, 2000, 487: : 334; MA Z Y et al. Nucl . Phys. A, 2001, 686: 173; MA Z Y. et al. Nucl.Phys. A, 2002, 703: 2226. Chin S A. Ann, Phys. , 1977, 108: 3017. Kurasawa H, Suzuki T. Nucl. Phys. A, 1985, 445: 685; 1988, 490:5718. Furnstahl R J, Horowitz C J. Nucl. Phys. A, 1988, 485: 632; Horowitz C J, Piekarewicz J. Nucl. Phys. A, 1990, 511: 461

[1]	Zhi-zhong Xing , Shun Zhou . Naumov-and Toshev-like relations in the renormalization-group evolution of quarks and Dirac neutrinos. Chinese Physics C, 2018, 42(10): 103105. doi: 10.1088/1674-1137/42/10/103105
[2]	Rebecca Krall , Matthew Reece . Last electroweak WIMP standing: pseudo-Dirac higgsino status and compact stars as future probes. Chinese Physics C, 2018, 42(4): 043105. doi: 10.1088/1674-1137/42/4/043105
[3]	Yue-Liang Wu . Maximal symmetry and mass generation of Dirac fermions and gravitational gauge field theory in six-dimensional spacetime. Chinese Physics C, 2017, 41(10): 103106. doi: 10.1088/1674-1137/41/10/103106
[4]	Fangcheng He , Ping Wang . Dirac and Pauli form factors of nucleons using nonlocal chiral effective Lagrangian. Chinese Physics C, 2017, 41(11): 114106. doi: 10.1088/1674-1137/41/11/114106
[5]	Akpan N , Eno J . Pseudospin symmetry of the Dirac equation for a Möbius squareplus Mie type potential with a Coulomb-like tensor interaction via SUSYQM. Chinese Physics C, 2014, 38(1): 013101. doi: 10.1088/1674-1137/38/1/013101
[6]	S. S. Hosseini , S. Zarrinkamar . Dirac oscillator in noncommutative space. Chinese Physics C, 2014, 38(6): 063104. doi: 10.1088/1674-1137/38/6/063104
[7]	H. Hassanabadi , H. Rahimov , S. Zarrinkamar . Arbitrary-state solutions of the Dirac equation for a Möbius square potential using the Nikiforov-Uvarov method. Chinese Physics C, 2013, 37(4): 043105. doi: 10.1088/1674-1137/37/4/043105
[8]	E. Maghsoodi , S. Zarrinkamar . Approximate solutions of Dirac equation with a ring-shaped Woods-Saxon potential by Nikiforov-Uvarov method. Chinese Physics C, 2013, 37(11): 113104. doi: 10.1088/1674-1137/37/11/113104
[9]	A. A. Rajabi . Bound Dirac states for pseudoscalar Cornell potential：3+1 dimensions. Chinese Physics C, 2013, 37(10): 103102. doi: 10.1088/1674-1137/37/10/103102
[10]	LIANG Mai-Lin , ZHANG Ya-Bin , YANG Rui-Lin , ZHANG Fu-Lin . Dirac equation with a magnetic field in 3D non-commutative phase space. Chinese Physics C, 2013, 37(6): 063106. doi: 10.1088/1674-1137/37/6/063106
[11]	MA Kai , WANG Jian-Hua , YUAN Yi . Wigner function for the Dirac oscillator in spinor space. Chinese Physics C, 2011, 35(1): 11-15. doi: 10.1088/1674-1137/35/1/003
[12]	ZHANG Ying , LIANG Hao-Zhao , MENG Jie . First attempt to overcome the disaster of Dirac sea in imaginary time step method. Chinese Physics C, 2009, 33(S1): 113-115. doi: 10.1088/1674-1137/33/S1/036
[13]	ZHANG Ai-Ping , QIANG Wen-Chao . Exact Bound Solution of the Klein-Gordon Equation and the Dirac Equation with Rosen-MorseⅡ Potential. Chinese Physics C, 2007, 31(11): 1027-1031.
[14]	CHEN Zhi-Qiang , YE Yan-Lin , WANG Jin-Chuan , XIAO Guo-Qing , ZHAN Wen-Long , XU Hu-Shan , GUO Zhong-Yan , JIANG Dong-Xing , WANG Quan-Jin , ZHENG Tao , ZHANG Gao-Long , LI Zhi-Huan , , , , . Theoretical Calculation of the Design of Large Area Neutron Detector Array at RIBLL. Chinese Physics C, 2005, 29(1): 72-76.
[15]	Dai Qirun , Ma Zhanqing , Zhao Shusong , . Fermi-Dirac Correlation and Q^－v)K_v(Q) Distribution. Chinese Physics C, 1996, 20(11): 1014-1020.
[16]	WU Dan-Di . Ambiguity of Perturbative Dirac Theory. Chinese Physics C, 1992, 16(2): 183-186.
[17]	LI Yuan-Jie . VACUUM GAP OF DIRAC PARTICLE IN THE STRONG GRAVITY. Chinese Physics C, 1990, 14(3): 236-239.
[18]	LI Yuan-Jie . RADIAL SOLUTIONS OF THE DIRAC EQUATION IN A LEMAITRE METRIC. Chinese Physics C, 1989, 13(8): 701-705.
[19]	LI Yuan-Jie . VACUUM SOLUTIONS OF DIRAC IN A R-W UNIVERSE. Chinese Physics C, 1988, 12(6): 737-741.
[20]	SHEN Qing-Biao , TIAN Ye , LI Zhu-Xia , ZHUO Yi-Zhong . CALCULATION OF WIDTHS, SPECTRAL FUNCTION AND HOLE OCCUPATION NUMBERS OF SINGLE-PARTICLE STATES. Chinese Physics C, 1985, 9(3): 327-331.

Access

Get Citation

ZHANG Hai-Xia, WU Shi-Shu and YAO Yu-Jie. Relation of Dawson Furnstahl's Empty Sea Ansatz to Dirac's Hole Theory[J]. Chinese Physics C, 2004, 28(12): 1361-1365.

ZHANG Hai-Xia, WU Shi-Shu and YAO Yu-Jie. Relation of Dawson Furnstahl's Empty Sea Ansatz to Dirac's Hole Theory[J]. Chinese Physics C, 2004, 28(12): 1361-1365. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2003-11-29
Revised: 1900-01-01

Article Metric

Article Views(3434)
PDF Downloads(753)
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

Relation of Dawson Furnstahl's Empty Sea Ansatz to Dirac's Hole Theory

Corresponding author: ZHANG Hai-Xia,

吉林大学物理学院长春 130023

Received Date: 2003-11-29
Accepted Date: 1900-01-01
Available Online: 2004-12-05

Abstract: There are two methods to take account of the contribution of negative energy states in the relativistic random phase approximation. One is due to Dawson and Furnstahl. They made the ansatz that the dirac sea is empty. The other is the Dirac hole theory, which postulated that the sea should be fully occupied. The two methods seem contradictory concerning the way through which the negative–energy states contribute. The relation between the two theories is studied and the conditions under which the Dawson-Furnstahl theory is a good approximation to the Dirac theory are enunciated.