Eigenvalues of volume and area in the spin network representation | Zendy

Shao Dan | Zendy; Shao Liang | Zendy; Shao Changgui | Zendy; Yihan Chen | Zendy; Ma Weichuan | Zendy

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Eigenvalues of volume and area in the spin network representation

Author(s) -

Shao Dan,

Shao Liang,

Shao Changgui,

Yihan Chen,

Ma Weichuan

Publication year - 2005

Publication title -

acta physica sinica

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.199

H-Index - 47

ISSN - 1000-3290

DOI - 10.7498/aps.54.4549

Subject(s) - eigenvalues and eigenvectors , operator (biology) , grasp , volume (thermodynamics) , representation (politics) , spin (aerodynamics) , action (physics) , identity (music) , physics , mathematics , computer science , mathematical physics , quantum mechanics , thermodynamics , chemistry , acoustics , biochemistry , repressor , politics , transcription factor , political science , law , gene , programming language

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.

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