Open AccessEigenaction of metric operator on Gaussian weave state and spin-geometry
Author(s) -
Dan Shao,
Shao Liang,
Cheng-Gang Shao,
Hidetoshi Noda
Publication year - 2007
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.56.1271
Subject(s) - gaussian , operator (biology) , metric (unit) , mathematics , mathematical analysis , mathematical physics , quantum mechanics , physics , pure mathematics , gene , biochemistry , chemistry , operations management , repressor , transcription factor , economics
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.