摘要:在物理学中,所有的问题都是在特定的条件来进求解的,不可能只从运动方程获得有用的信息。比如在凝聚态物理、量子力学等领域中边界条件的应用非常重要的。如果没有任何条件的限制的话，很多的问题将会变得无法解释。也可能会失去它本身的物理意义。本文在介绍了物理学中有关边界条件，并对“边界条件对量子态分布的影响”在特定的物理模型中进行了分析。通过对三维情况下不同的边界条件下对量子态的分布情况的结果研究和学习。写出二维情况下不同的边界条件下对量子态的分布情况。也此同时，对二维情况下在不同的方向时进行了不同条件下的量子态的情况进行考虑，可以得到其所对应的量子态表达式。

关键词：边界条件；狄利克雷；纽曼；周期性；莫比乌斯带

Abstract:In physics, all problems are solved under certain conditions; it is not possible for us to get useful information from the aspect of movement equation. For instance, in condensed matter physics, the application of boundary conditions in quantum mechanics field is very important .Many questions will lose explanations if there are not any limitations on them. accordingly their physical meaning will lose .This paper introduces the boundary conditions related in physics and analyses the Influence of boundary conditions on the distribution of quantum states in special model .Based on the result analysis and study of distribution of quantum state under the 3- dimensional situations and different boundary conditions. This paper writes out distribution situations of quantum state by virtue of 2- dimensional situations and different boundary conditions. At the same time, this paper makes a consideration on the quantum stated in different boundary conditions, which is good for producing its corresponding quantum state expression.

Keywords: Boundary Conditions; Dirichlet; Neumann; Period ; Mobius