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Eigenaction of metric operator on Gaussian weave state and spin-geometry

H.Noda Shao Chang-Gui Shao Dan Shao Liang

Eigenaction of metric operator on Gaussian weave state and spin-geometry

H.Noda, Shao Chang-Gui, Shao Dan, Shao Liang
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Publishing process
  • Received Date:  17 August 2006
  • Accepted Date:  18 September 2006
  • Published Online:  11 July 2007

Eigenaction of metric operator on Gaussian weave state and spin-geometry

  • 1. (1)Department of Mathematical Sciences,Ibaraki University,Mitio 310-8512,Japan; (2)湖北教育学院理论物理所,武汉 430205; (3)江汉大学光电信息研究所,武汉 430056; (4)武汉科技大学理学院应用物理系,武汉 430081

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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