论文标题
使用Kronecker Sum和Kronecker产品的1-D ISING模型
1-d Ising model using Kronecker sum and Kronecker product
论文作者
论文摘要
ISING模型中的计算可能很麻烦且不直觉。在这里，我们提供了一个解决这些问题的公式，以解决1D方案。我们表示自旋相互作用的微骨作为对角线基质。这是使用两个操作完成的：Kronecker Sum和Kronecker产品。因此，计算成为操纵对角线矩阵的简单问题。我们解决了这项工作中的以下问题：在磁场中旋转，开放链1-D ISING模型，闭合链1-D ISING模型，外部磁场中的1-D ISING模型。我们认为，这种表示将有助于为学生和专家提供一种简单而强大的技术，以在此模型中进行计算。
Calculations in Ising model can be cumbersome and non-intuitive. Here we provide a formulation that addresses these issues for 1-D scenario. We represent the microstates of spin interactions as a diagonal matrix. This is done using two operations: Kronecker sum and Kronecker product. The calculations thus become simple matter of manipulating diagonal matrices. We address the following problems in this work: spins in the magnetic field, open-chain 1-D Ising model, closed-chain 1-D Ising model, 1-D Ising model in an external magnetic field. We believe that this representation will help provide students as well as experts with a simple yet powerful technique to carry out calculations in this model.
