一维伊辛模型的Kronecker和与Kronecker积
1-d Ising model using Kronecker sum and Kronecker product
摘要：
在伊辛模型中的计算可能是繁琐和不直观的。在这里，我们提供了一个配方，解决这些问题的1-D方案。我们把自旋相互作用的微观态表示为一个对角矩阵。这是通过两个操作完成的：Kronecker sum和Kronecker product。因此，计算变成了简单的操作对角矩阵的问题。本文研究了磁场中的自旋、开链一维伊辛模型、闭链一维伊辛模型、外磁场中的一维伊辛模型。我们相信，这种表示将有助于为学生和专家提供一个简单而强大的技术来进行计算，在这个模型。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
