Eigenactions and eigenvalues of volume operator on any-valent vertices | Zendy

Shao Liang | Zendy; Shao Dan | Zendy; Shao Changgui | Zendy; Zhang Zu-Quan | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Eigenactions and eigenvalues of volume operator on any-valent vertices

Author(s) -

Shao Liang,

Shao Dan,

Shao Changgui,

Zhang Zu-Quan

Publication year - 2006

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.55.5629

Subject(s) - eigenvalues and eigenvectors , operator (biology) , algebraic number , volume (thermodynamics) , vortex , mathematics , pure mathematics , combinatorics , mathematical physics , mathematical analysis , physics , quantum mechanics , biochemistry , chemistry , repressor , transcription factor , gene , thermodynamics

Antisymmetrizing the actions of hand triple contained in volume operator and grasping on the segments rooting through any-valent vortex of spin netwok, and using the binor identity, a proof is given that all these actions are eigenactions with eigenvalue -2. A systematic algebraic method to calculate the eigenvalues of volume operator for any-valent vortices is given, and the general and algebraic expressions of volume eigenvalues for 3-, 4-, 5-, 6- valent vertices are obtained.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research