有限尺寸论域或完全挤压问题v2
Finite Size Universe or Perfect Squash Problem v2
摘要：
给出了算子$id/dx$在有限区间上的所有自伴扩张的物理概念。看来，这些扩展实现了不同的非酉等效表示的CCR和相关的动量算子从不同的惯性系统。这导致了伽利略等效原理的推广，并给出了一个新的理解量子对应规则。对于任意标量势，都可以得到波函数在Galilei变换下的变换规律。这推广了质量超选择规则。对波函数的动量表示给出了新的一般解释。看来，这个问题的一致治疗导致时间依赖的相互作用和突然关闭的相互作用。
英文摘要：
We give a physical notion to all self-adjoint extensions of the operator $id/dx$ in the finite interval. It appears that these extensions realize different non-unitary equivalent representations of CCR and are related to the momentum operator viewed from different inertial systems. This leads to the generalization of Galilei equivalence principle and gives a new insight into quantum correspondence rule. It is possible to get transformation laws of wave function under Galilei transformation for any scalar potential. This generalizes mass superselection rule. There is also given a new and general interpretation of a momentum representation of wave function. It appears that consistent treatment of this problem leads to the time-dependent interactions and to the abrupt switching-off of the interaction.
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。
