Two-electron spin states and various spin operators in coupling representation and uncoupling representation are given.

In this paper a detailed study is made of some fundamental conceptions of the expression and transformation of the electronic spin operator,some new ideas are presented,and some problems that are worthy of note in comprehending the conceptions are elaborated.

Using the pegg-Barnett phase operator formalism we have introduced phase operator and phase state basis in a finile-demensinal Hilbert space the phase operator repre sentation and their properties are discussed in detail for a two-state system.

In this sense, Susskind and Glogower′s exponential phase operator is unitary.

To study the phase properties of such states,the expectation values of the Susskind phase operators in these states are calculated exactly and the number-phase uncertainty relations in the limits of small r and large r are examined r.

Dirac phase operator, SG phase operator and PB phase operator are analyzed in details.

Logical operator,proximity operator and wildcard character are often used in document retrieval.

Two-mode phase operators and eigenstates of the supersymmetric harmonic oscillator;

In the paper, we define two independent phase operators and obtain corresponding eigenstates in twomodel phase space by improving operators which twomodel squeezing coherent states correspond.