环上基态的自旋和通量相位问题
Spin of the ground state and the flux phase problem on the ring
摘要：
作为我们以前工作的继续，我们导出了在没有在位相互作用和外势的情况下，当粒子数为奇数时，使一维多粒子系统的基态能量最小的最佳通量相位.此外，我们还研究了环上的磁通量与基态自旋的关系，由此得到了单粒子哈密顿量最低本征值之和的一些信息。
英文摘要：
As a continuation of our previous work, we derive the optimal flux phase which minimizes the ground state energy in the one-dimensional many particle systems, when the number of particles is odd in the absence of on-site interaction and external potential. Moreover, we study the relationship between the flux on the ring and the spin of the ground state through which we derive some information on the sum of the lowest eigenvalues of one-particle Hamiltonians.
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