中国物理B ›› 2013, Vol. 22 ›› Issue (11): 110401-110401.doi: 10.1088/1674-1056/22/11/110401

• GENERAL • 上一篇    下一篇

Invariant expression for tunneling rate under canonical transformations

任军a, 贾孟文a, 魏益焕b   

  1. a School of Science, Hebei University of Technology, Tianjin 300401, China;
    b Department of Physics, Bohai University, Jinzhou 121000, China
  • 收稿日期:2013-01-01 修回日期:2013-04-22 出版日期:2013-09-28 发布日期:2013-09-28
  • 基金资助:
    Project supported by the Natural Science Foundation of Hebei Province, China (Grant No. A2011202129).

Invariant expression for tunneling rate under canonical transformations

Ren Jun (任军)a, Jia Meng-Wen (贾孟文)a, Wei Yi-Huan (魏益焕)b   

  1. a School of Science, Hebei University of Technology, Tianjin 300401, China;
    b Department of Physics, Bohai University, Jinzhou 121000, China
  • Received:2013-01-01 Revised:2013-04-22 Online:2013-09-28 Published:2013-09-28
  • Contact: Ren Jun E-mail:thebest2@163.com
  • Supported by:
    Project supported by the Natural Science Foundation of Hebei Province, China (Grant No. A2011202129).

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摘要： The original formula to calculate the tunneling rate through event horizons is apparently dependent on the type of coordinates used. In this paper, we propose an invariant expression under canonical transformations to study the tunneling effect. Moreover, the problem of factor 2 is solved naturally. As an application of this expression, we obtain the same tunneling rate both in the Schwarzschild and the Painlevé coordinates. It is shown that once the suitable formula to calculate tunneling rate is correctly identified, the tunneling method is manifestly covariant.

关键词: Hawking temperature, tunneling method, invariant expression of tunneling rate

Abstract: The original formula to calculate the tunneling rate through event horizons is apparently dependent on the type of coordinates used. In this paper, we propose an invariant expression under canonical transformations to study the tunneling effect. Moreover, the problem of factor 2 is solved naturally. As an application of this expression, we obtain the same tunneling rate both in the Schwarzschild and the Painlevé coordinates. It is shown that once the suitable formula to calculate tunneling rate is correctly identified, the tunneling method is manifestly covariant.

Key words: Hawking temperature, tunneling method, invariant expression of tunneling rate

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

  • 04.70.Dy