RADIAL SOLUTIONS OF THE DIRAC EQUATION IN A LEMAITRE METRIC

LI Yuan-Jie

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]	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]	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
[5]	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
[6]	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
[7]	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
[8]	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
[9]	Shi Kangiie , Li Guangliang , Fan Heng , Hou Boyu . Multi-Parameter Solution to the Reflection Equation of Z_n Belavin Model. Chinese Physics C, 1999, 23(5): 425-435.
[10]	Zeng Xianghua , Ge Lingxiao . Thermalization,Expansion and Radial Flow in HIC. Chinese Physics C, 1997, 21(2): 157-161.
[11]	Zeng Xianghua , Ge Lingxiao . Studies of Radial Expansion Energy in HIC at Medium Energies. Chinese Physics C, 1996, 20(4): 345-349.
[12]	Bian Jianguo , Huang Tao . Pseudo-Scalar Meson Solutions of the Equal-Time Equation IN QCD. Chinese Physics C, 1994, 18(2): 127-136.
[13]	MA Zhong-Qi , DAI An-Ying . ON THE HERMITIAN OF THE HAMILTONIAN OF RADIAL EQUATION. Chinese Physics C, 1988, 12(1): 42-49.
[14]	XUE She-Sheng . A MEAN FIELD SOLUTION TO FOKKER-PLANCK EQUATION IN LATTICE GAUGE THEORIES. Chinese Physics C, 1988, 12(2): 178-181.
[15]	LI Yuan-Jie . VACUUM SOLUTIONS OF DIRAC IN A R-W UNIVERSE. Chinese Physics C, 1988, 12(6): 737-741.
[16]	HUANG Nian-Ning . ON THE ONE-SOLITON SOLUTIONS OT SUPER-GORDON EGUATION. Chinese Physics C, 1985, 9(3): 382-384.
[17]	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.
[18]	WEI KAI-YU . EQUATION OF BEAM ENVELOP FUNCTIONS AND THEIR APPROXIMATE SOLUTIONS. Chinese Physics C, 1981, 5(6): 687-693.
[19]	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.
[20]	Wu Yong-shi , Lu Qi-keng . RIGHT TRANSLATION INVARIANT METRICS AND VARIATIONAL PRINCIPLES ON A PRINCIPAL BUNDLE——TREATED AS THE UNION OF SPACE-TIME AND AN INTERNAL SPACE. Chinese Physics C, 1980, 4(3): 322-336.

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(2644)
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.