Invariant expression for tunneling rate under canonical transformations

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....

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Bibliographic Details
Published inChinese physics B Vol. 22; no. 11; pp. 222 - 225
Main Author 任军 贾孟文 魏益焕
Format Journal Article
LanguageEnglish
Published 01.11.2013
Subjects
Event horizon
Invariants
Mathematical analysis
Transformations
Tunneling
事件视界
公式
变量表达式
掘进速度
正则变换
表情
隧穿率
隧道效应
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Summary: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 Painlev6 coordinates. It is shown that once the suitable formula to calculate tunneling rate is correctly identified, the tunneling method is manifestly covariant.
Bibliography:Ren Jun, Jia Meng-Wen, Wei Yi-Huan（a） School of Science, Hebei University of Technology, Tianjin 300401, China b）Department of Physics, B ohai University, Jinzhou 121000, China
Hawking temperature, tunneling method, invariant expression of tunneling rate
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 Painlev6 coordinates. It is shown that once the suitable formula to calculate tunneling rate is correctly identified, the tunneling method is manifestly covariant.
11-5639/O4
ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
ISSN:1674-1056
2058-3834
1741-4199
DOI:10.1088/1674-1056/22/11/110401