RADIAL SOLUTIONS OF THE DIRAC EQUATION IN A LEMAITRE METRIC

LI Yuan-Jie

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《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

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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.

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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

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

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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.