RADIAL SOLUTIONS OF THE DIRAC EQUATION IN A LEMAITRE METRIC

LI Yuan-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> 1989, Vol. 13> Issue(8) : 701-705

RADIAL SOLUTIONS OF THE DIRAC EQUATION IN A LEMAITRE METRIC

LI Yuan-Jie ^,

Department of Physics,Huazhong University of Science and Technology,Wuhan

Abstract
HTML
Reference
Related

PDF

Abstract：
In this paper the radial solutions of the Dirac equation in a metric with spheroidal symmetry are given.It is shown that there exists no quantum bound states of Fermions about the Schwarzschild black hole.Some cases are discussed,one is a soliton wave of the temporal state,which provides a new insight for checking the existence of a black hole,the other is a solution of the stationary state which describes the accretion and vaporization of the black hole.

References

[1]	张端明、李元杰.Commun in Theor Phys., V4 (1985), 853.[2] 李元杰、张端明，高能物理与核物理，V10, N4(1986), 412.[3] 李元杰，高能物理与核物理，V11, N2 (1987), 198.[4] 章世伟、苏汝铿，物理学报，31(1982)， 311.[5] 须重明、谢光中，科学通报，25(1980)， 1063.[6] Cohen. J. M., Powers, R. T, Commun, Math. Phys 86 (1982), 69.

[1]	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
[2]	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
[3]	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
[4]	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
[5]	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
[6]	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
[7]	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
[8]	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.
[9]	ZHANG Hai-Xia , WU Shi-Shu , YAO Yu-Jie . Relation of Dawson Furnstahl's Empty Sea Ansatz to Dirac's Hole Theory. Chinese Physics C, 2004, 28(12): 1361-1365.
[10]	CAI Chong-Hai , LI Lei . Radial Equation of Bound State and Binding Energies of Ξ^－ Hypernuclei. Chinese Physics C, 2003, 27(11): 1005-1008.
[11]	Dai Qirun , Ma Zhanqing , Zhao Shusong , . Fermi-Dirac Correlation and Q^－v)K_v(Q) Distribution. Chinese Physics C, 1996, 20(11): 1014-1020.
[12]	WU Dan-Di . Ambiguity of Perturbative Dirac Theory. Chinese Physics C, 1992, 16(2): 183-186.
[13]	CAI Rong-Gen , CHEN Zhi-Jian . The Boson Bound States in the Higher Dimensional Kerr Metric. Chinese Physics C, 1991, 15(5): 420-426.
[14]	LI Yuan-Jie . VACUUM GAP OF DIRAC PARTICLE IN THE STRONG GRAVITY. Chinese Physics C, 1990, 14(3): 236-239.
[15]	XUE She-Sheng . A MEAN FIELD SOLUTION TO FOKKER-PLANCK EQUATION IN LATTICE GAUGE THEORIES. Chinese Physics C, 1988, 12(2): 178-181.
[16]	LI Yuan-Jie . VACUUM SOLUTIONS OF DIRAC IN A R-W UNIVERSE. Chinese Physics C, 1988, 12(6): 737-741.
[17]	LI Yuan-Jie , ZHANG Duan-Ming . CHARGED BOSON BOUND STATES IN THE KERR-NEWMAN METRIC. Chinese Physics C, 1986, 10(4): 412-419.
[18]	YAN Jun-Hu . EXACT SOLUTION OF THE PAULI EQUATION IN THE FIELD OF A 'T HOOFT-POLYAKOV MONOPOLE. Chinese Physics C, 1985, 9(3): 367-370.
[19]	ZHAO Guang-Ta , HUANG Chao-Shang . THE NEGATIVE METRIC THEORY FOR THE MASSIVE VECTOR MESON FIELD. Chinese Physics C, 1984, 8(1): 17-24.
[20]	PENG SHOU-LI , ZHAO SHU-SONG . GENERAL ANALYTIC SOLUTIONS OF THE THREE DIMENSIONAL ELECTRON SHOWER EQUATIONS IN THE NON-HOMOGENEOUS MEDIUM. Chinese Physics C, 1981, 5(1): 47-54.

Access

Get Citation

LI Yuan-Jie. RADIAL SOLUTIONS OF THE DIRAC EQUATION IN A LEMAITRE METRIC[J]. Chinese Physics C, 1989, 13(8): 701-705.

LI Yuan-Jie. RADIAL SOLUTIONS OF THE DIRAC EQUATION IN A LEMAITRE METRIC[J]. Chinese Physics C, 1989, 13(8): 701-705. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

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

Article Metric

Article Views(2601)
PDF Downloads(439)
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

RADIAL SOLUTIONS OF THE DIRAC EQUATION IN A LEMAITRE METRIC

LI Yuan-Jie ^,

Corresponding author: LI Yuan-Jie,

Department of Physics,Huazhong University of Science and Technology,Wuhan

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1989-08-05

Abstract: In this paper the radial solutions of the Dirac equation in a metric with spheroidal symmetry are given.It is shown that there exists no quantum bound states of Fermions about the Schwarzschild black hole.Some cases are discussed,one is a soliton wave of the temporal state,which provides a new insight for checking the existence of a black hole,the other is a solution of the stationary state which describes the accretion and vaporization of the black hole.