中国物理B ›› 2008, Vol. 17 ›› Issue (8): 2817-2823.doi: 10.1088/1674-1056/17/8/012

• GENERAL • 上一篇    下一篇

Modified de Broglie--Bohm approach to the Schwarzschild black hole

王波波   

  1. Department of Physics, School of Science, Beijing Jiaotong University, Beijing 100044, China
  • 收稿日期:2008-01-03 修回日期:2008-01-04 出版日期:2008-08-20 发布日期:2008-08-20
  • 基金资助:
    Project supported by the Science Paper Foundation of Beijing Jiaotong University of China.

Modified de Broglie--Bohm approach to the Schwarzschild black hole

Wang Bo-Bo(王波波)†   

  1. Department of Physics, School of Science, Beijing Jiaotong University, Beijing 100044, China
  • Received:2008-01-03 Revised:2008-01-04 Online:2008-08-20 Published:2008-08-20
  • Supported by:
    Project supported by the Science Paper Foundation of Beijing Jiaotong University of China.

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摘要： A modified de Broglie--Bohm approach is generalized to the Schwarzschild black hole. By using this method, the quantum potential and the quantum trajectories of the black hole are investigated. And we find that the linear combination of two particular solutions of the black hole wavefunction is not physical although each of them is physical, if we think that the quantum gravity should reduce into its corresponding classical counterpart in which the gravity vanishes. It seems to confirm the argument, given by Alwis and MacIntire, that a possible resolution on the quantum gravity is to give up the superposition principle.

Abstract: A modified de Broglie--Bohm approach is generalized to the Schwarzschild black hole. By using this method, the quantum potential and the quantum trajectories of the black hole are investigated. And we find that the linear combination of two particular solutions of the black hole wavefunction is not physical although each of them is physical, if we think that the quantum gravity should reduce into its corresponding classical counterpart in which the gravity vanishes. It seems to confirm the argument, given by Alwis and MacIntire, that a possible resolution on the quantum gravity is to give up the superposition principle.

Key words: modified de Broglie--Bohm interpretation, black hole, quantum trajectory, quantum potential

中图分类号:  (Quantum aspects of black holes, evaporation, thermodynamics)

  • 04.70.Dy
04.60.Ds (Canonical quantization)