RADIAL SOLUTIONS OF THE DIRAC EQUATION IN A LEMAITRE METRIC

  • 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.
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  • [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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RADIAL SOLUTIONS OF THE DIRAC EQUATION IN A LEMAITRE METRIC

    Corresponding author: LI Yuan-Jie,
  • Department of Physics,Huazhong University of Science and Technology,Wuhan

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.

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