Recoupling Matrix of Volume Operator Action on Vertex

SHAO Dan; SHAO Liang; SHAO Chang-Gui; CHEN Yi-Han

Chinese Physics C> 2004, Vol. 28> Issue(3) : 254-257

Recoupling Matrix of Volume Operator Action on Vertex

Department of Mathematical Sciences,Ibaraki University,Mito 310-8512,Japan2 Institute of Theoretical Physics,Hubei University,Wuhan 430062,China

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Abstract：
We study the action of volume operator on spin network states with n-valent vertices. In particular, the recoupling matrices are re-derived by means of a graphic formulation.

References

[1]

.Penrose R.In: Quantum Theory and beyond,ed EA Bastin,CambridgeUniversity Press.19712.Rovel i C,Smolin L.Nucl.Phys.,1995,B442: 5933.Ashtekar A.Lectures on:Non-pertubative Canonical Gravity.LectureNodes Prepared in Collaboration with R.S.Tat e.Singapore:World Scientific,19914.Ezawa K.Phys.Rep.,1997,286:2715.Rovelli C.J.Math.Phys.,2000,141(6):37766.Gambini R.Int.J.Theor.Phys.,1999,(4):10637.Piet ri R D,Rovelli C.Phys.Rev.,1996,D54:2664

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SHAO Dan, SHAO Liang, SHAO Chang-Gui and CHEN Yi-Han. Recoupling Matrix of Volume Operator Action on Vertex[J]. Chinese Physics C, 2004, 28(3): 254-257.

SHAO Dan, SHAO Liang, SHAO Chang-Gui and CHEN Yi-Han. Recoupling Matrix of Volume Operator Action on Vertex[J]. Chinese Physics C, 2004, 28(3): 254-257. shu

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Received: 2003-05-01
Revised: 1900-01-01

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沈阳化工大学材料科学与工程学院沈阳 110142

Recoupling Matrix of Volume Operator Action on Vertex

Corresponding author: SHAO Dan,

Department of Mathematical Sciences,Ibaraki University,Mito 310-8512,Japan2 Institute of Theoretical Physics,Hubei University,Wuhan 430062,China

Received Date: 2003-05-01
Accepted Date: 1900-01-01
Available Online: 2004-03-05

Abstract: We study the action of volume operator on spin network states with n-valent vertices. In particular, the recoupling matrices are re-derived by means of a graphic formulation.