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Fuzzy对称群和量子力学
引用本文:邹开其.Fuzzy对称群和量子力学[J].大连大学学报,2000,21(4):7-11.
作者姓名:邹开其
作者单位:大连大学数学系,辽宁大连116622
基金项目:交通部 211工程基金资助项目!(732009)
摘    要:作为近代物理学基础的相对论和量子场论以及各种尚在建立的统一场理论中,究竟应当采用什么数学模型,本文提出一种设想,以期引起讨论.首先提出Fuzzy置换的概念,再建立Fuzzy对称群,讨论了它们的一些性质,并指出它们在量子力学研究中的作用。

关 键 词:Fuzzy对称群  Fuzzy置换  格群  量子力学

Fuzzy Group of Symmetries and Quantum Mechanis
ZOU Kai-qi.Fuzzy Group of Symmetries and Quantum Mechanis[J].Journal of Dalian University,2000,21(4):7-11.
Authors:ZOU Kai-qi
Abstract:Among reletivity theory and quantized field theory as the basis of modern physics as well as other kinds of establishing unified field theory as regards what kind of mathematical model to be adopted this paper puts forward an assumption, so as to be further discussed. It brings about the concept of fuzzy permutation and the establishment of the fuzzy group of symmectries and discusses some of their character and fuctions in the quantum mechanis.
Keywords:fuzzy group of symmetries  fuzzy permutation  latice group  quantum mechanis
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