The Unitarily Invariant Decomposition of Hermitian Operators

Chandana Roy

Chia‐Chung Sun, Xue‐Qui Li, Auchin Tang

Abstract The unitarily invariant decomposition of Hermitian operators for a boson system is performed by means of the symmetry of group SO(2, 1) and the decomposition is also closely related with Lie algebra.

Shu Hotta

Chia‐Chung Sun, Xue‐Qui Li, Auchin Tang

Abstract The unitarily invariant decomposition of Hermitian operators is performed by means of Lie algebra.

Auchin Tang, Hong Guo

Abstract A set of characteristic operators {F } is proposed for performing the decomposition of p‐particle Hermitian operators {Dp} to constitute irreducible components {D } of the unitary group D = F Dp, q = 0,1,2,…,p. For a deeper expolration of the properties of the characteristic operators, a few theorems are presented. As an illustration, the expected values for symmetric p‐particle Hermitian operators are obtained as a number of terms having invariant group‐theoretical meaning.

Shu Hotta