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

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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.