C*-Algebra Approach to Ground States of the XY-Model
C*-Algebra Approach to Ground States of the XY-Model
复制标题
XY 模型基态的 C* 代数方法
DOI：
10.1007/978-1-4899-6653-7_2
复制
发表时间：
1985
影响因子：
2.4
通讯作者：
T. Matsui
中科院分区：
文献类型：
--
作者：
H. Araki;T. Matsui
已知C*-代数为无限扩展晶格上自旋系统的量子统计力学提供了适当的数学框架，就像量子力学的希尔伯特空间一样。在本文中，我们试图通过说明如何通过C*代数方法确定外横场中一维xy模型的所有基态来证明C*代数理论不仅对一般公式有用，而且对具体计算也有用。
C*-algebras are known to provide a proper mathematical framework for quantum Statistical mechanics of spin systems on an infinitely extended lattice in the same way as Hilbert spaces for quantum mechanics. In the present article, we try to show that theory of C*-algebras is useful not only for a general formulation but also for a concrete computation by illustrating how all ground states of the one-dimensional XY-model in an external transversal field can be determined through C*-algebra methods.