中国物理B ›› 2014, Vol. 23 ›› Issue (4): 40403-040403.doi: 10.1088/1674-1056/23/4/040403

• GENERAL • 上一篇    下一篇

Solution of Dirac equation around a charged rotating black hole

吕嫣, 花巍   

  1. College of Physics Science and Technology, Shenyang Normal University, Shenyang 110034, China
  • 收稿日期:2013-07-20 修回日期:2013-09-22 出版日期:2014-04-15 发布日期:2014-04-15
  • 基金资助:
    Project supported by the Special Funds of the National Natural Science Foundation of China (Grant No. 11247288) and the Young Scientists Fund of the National Natural Science Foundation of China (Grant No. 11301350).

Solution of Dirac equation around a charged rotating black hole

Lü Yan (吕嫣), Hua Wei (花巍)   

  1. College of Physics Science and Technology, Shenyang Normal University, Shenyang 110034, China
  • Received:2013-07-20 Revised:2013-09-22 Online:2014-04-15 Published:2014-04-15
  • Contact: Lü Yan E-mail:yanlvthp88@aliyun.com
  • About author:04.20.-q; 04.70.-s; 04.70.Dy; 95.30.Sf
  • Supported by:
    Project supported by the Special Funds of the National Natural Science Foundation of China (Grant No. 11247288) and the Young Scientists Fund of the National Natural Science Foundation of China (Grant No. 11301350).

摘要: The aim of this paper is to solve the radial parts of a Dirac equation in Kerr-Newman (KN) geometry. The potential is replaced by a collection of step functions, then the reflection and transmission coefficients as well as the solution of the wave equation are obtained by using a quantum mechanical method. The result shows that the waves with different values of mass will be scatted off very differently.

关键词: Dirac equation, Kerr-Newman space, tortoise coordinate

Abstract: The aim of this paper is to solve the radial parts of a Dirac equation in Kerr-Newman (KN) geometry. The potential is replaced by a collection of step functions, then the reflection and transmission coefficients as well as the solution of the wave equation are obtained by using a quantum mechanical method. The result shows that the waves with different values of mass will be scatted off very differently.

Key words: Dirac equation, Kerr-Newman space, tortoise coordinate

中图分类号:  (Classical general relativity)

  • 04.20.-q
04.70.-s (Physics of black holes) 04.70.Dy (Quantum aspects of black holes, evaporation, thermodynamics) 95.30.Sf (Relativity and gravitation)