论文标题

数学物理学中的legerdemain:二维ISING模型分区功能的衍生功能的结构,技巧和空白,并证明了物质的稳定性

Legerdemain in Mathematical Physics: Structure, Tricks, and Lacunae in Derivations of the Partition Function of the Two-Dimensional Ising Model and in Proofs of The Stability of Matter

论文作者

Krieger, Martin H.

论文摘要

我们回顾了二维ISING iSing模型的分区功能的各种推导,并证明了物质的稳定性,注意在步骤之间似乎有一个间隙或参数结构并不那么简单的段落。作者不能包括所有中间步骤,但有时大多数读者,尤其是学生会被这种过渡所迷惑。此外,仔细考虑此类空隙指出了有趣的物理学,而不仅仅是数学技术。同样,当阅读原始论文时,物理论证的结构可能会被技术动作掩埋。在其他人的随后论文中,衍生产品的改进很清楚,更有动力。但是,关于如何阅读一些原始论文以及随后的文章的书面文字和书面很少,但是学生及其老师通常会从这种指导中受益。我应该指出,以下大部分讨论将受益于在您面前将这些论文受益。

We review various derivations of the partition function of the two-dimensional Ising Model of ferromagnetism and proofs of the stability of matter, paying attention to passages where there would appear to be a lacuna between steps or where the structure of the argument is not so straightforward. Authors cannot include all the intermediate steps, but sometimes most readers and especially students will be mystified by such a transition. Moreover, careful consideration of such lacunae points to interesting physics and not only mathematical technology. Also, when reading the original papers, the structure of the physics argument may be buried by the technical moves. Improvements in the derivations, in subsequent papers by others, may well be clearer and more motivated. But, there is remarkably little written and published about how to read some of the original papers, and the subsequent ones, yet students and their teachers would often benefit from such guidance. I should note that much of the discussion below will benefit from having those papers in front of you.

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