Eigenvalues of volume and area in the spin network representation

Shao Dan; Shao Liang; Shao Chang-Gui; Chen Yi-Han; Ma Wei-Chuan

doi:10.7498/aps.54.4549

Abstract
By antisymmetrizing the action of grasp and binor identity, it is proved that the spin network states of 3-valent and any-valent are the eigenstates of the volume operator and the area operator, respectively. The formulas 2-32l3p∑ipσpτpρ and 2-1l2p∑jpl(j) for calculating the eigenvalue spectrums of volume and area, respectively, are obtained.

Keywords:
volume operator /

area operator /

eigenvalue /

spin network
Authors and contacts
Shao Dan²,

Shao Liang³,

Shao Chang-Gui¹,

Chen Yi-Han¹,

Ma Wei-Chuan¹

(1)湖北大学理论物理所，武汉 430062; (2)江汉大学物理系，武汉 430056; (3)武汉科技大学物理系，武汉 430081
References

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Vol. 54, Issue 10 - 2005-05-20

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