Pauli Representation for Spin

Hong-Yi Fan, Hai-liang Lu

Using both the fermionic-like and the bosonic-like properties of the Pauli spin operators we discuss the Bose description of the Pauli spin operators firstly proposed by Shigefumi Naka, and derive another new bosonic representation of the Pauli spin operators. The eigenvector of $σ_{-}$ in the bosonic representation is a nonlinear coherent state with the eigenvalues being the Grassmann numbers.

Pedro Pereyra Padilla

Carl W David

The Pauli Spin Matrix representation of Spin Operators in Quantum Mechanics are explicitly demonstrated and illustrated in detail for one and two spin systems.

Luca Salasnich

Brian P. Anderson

JIANGNian-Quan, FANHong-Yi, LUHai-Liang

Using both the fermionic-like and the bosonic-like properties of the Pauli spin operators σ+, σ-, and σz we discuss the derivation of Bose description of the Pauli spin operators originally proposed by Shigefumi Naka, and deduce another new bosonic representation of Pauli operators. The related coherent states, which are nonlinear coherent state and coherent spin states for two spins, respectively, are constructed.