Finite-lattice approach to the O(2) and O(3) models in 1+1 dimensions and the (2+1)-dimensional Ising model
Finite-lattice approach to the O(2) and O(3) models in 1+1 dimensions and the (2+1)-dimensional Ising model
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DOI：
10.1103/physrevd.21.3341
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发表时间：
1980-06
影响因子：
5
通讯作者：
H. Roomany;H. Wyld
中科院分区：
文献类型：
--
作者：
H. Roomany;H. Wyld
本文将求解高维稀疏矩阵低本征值的Lanczos方法应用于求解1+1维O（2）和O（3）自旋系统以及2+1维Ising模型的Hamilton方程。我们以其他方式确认这些模型获得的结果。新的方法被证明是有竞争力的，与其他方法可用于解决这些问题。
The Lanczos scheme for finding low-lying eigenvalues of a sparse matrix of large dimension is applied to solving the Hamiltonian formulation for the O(2) and O(3) spin systems in 1+1 dimensions and the Ising model in 2+1 dimensions. We confirm results obtained for these models in other ways. The new method is shown to be competitive with the other methods available for solving these problems.