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物理学报. 2007, 56(3): 1271-1291.
doi: 10.7498/aps.56.1271.
度量算符对Gauss编织态的本征作用及自旋几何
- 收稿日期: 2006-08-17
- 修回日期: 2006-09-18
- 刊出日期: 2007-07-11
English Abstract
Eigenaction of metric operator on Gaussian weave state and spin-geometry
- Received Date:
17 August 2006
- Accepted Date:
18 September 2006
- Published Online:
11 July 2007
Abstract: In the recouping theorem and the graph calculation for loop quantum gravity, it is proved that the action of metric matrix operator on Gaussian weave state is an eigenaction, and the representation matrix elements of the metric operator and their expectation values are calculated. The values of the length of tangent vectors with 4 edges (P=1) adjacent to the vertex of Gaussian weave state ψp, as well as the angles between them, are also obtained in the cases of k=0 and k=2.
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