核类似铜酸盐超导模型的代数结构及能谱分析

Algebraic structure and the energy spectrum analysis of the cuprate superconductors model based on the analogy with atomic nuclei

Iachello提出核类似的铜酸盐超导模型具有su(3)代数结构,其平均场近似下的哈密顿量可以写成su(3)生成元的线性组合.利用代数对角化方法,可得到超出su(3)子代数u(1)u(2)和so(3)范围的约化哈密顿量的本征值,并分析得到模型中相干态项对能谱的影响.

A cuprate superconductor model based on the analogy with atomic nuclei was presented to have su（3） algebraic structure by Iachello, The mean - field approximation Hamiltonian can be expressed as a linear function of the generators of su（3） algebra. In terms of the algebraic diagonalization method, the eigenvalues of the reduced Hamiltonian beyond the subalgebras u（1）× u（2） and so（3）of su（3）algebra are obtained. And the dfects of the coherent term upon the energy spectrum are investigated.