Klein-Weyl's program and the ontology of gauge and quantum systems

We distinguish two orientations in Weyl's analysis of the fundamental role played by the notion of symmetry in physics, namely an orientation inspired by Klein's Erlangen program and a phenomenological-transcendental orientation. By privileging the former to the detriment of the latter, we sketch a group(oid)-theoretical program—that we call the Klein-Weyl program—for the interpretation of both gauge theories and quantum mechanics in a single conceptual framework. This program is based on Weyl's notion of a “structure-endowed entity” equipped with a “group of automorphisms”. First, we analyze what Weyl calls the “problem of relativity” in the frameworks provided by special relativity, general relativity, and Yang-Mills theories. We argue that both general relativity and Yang-Mills theories can be understood in terms of a localization of Klein's Erlangen program: while the latter describes the group-theoretical automorphisms of a single structure (such as homogenous geometries), local gauge symmetries and the corresponding gauge fields (Ehresmann connections) can be naturally understood in terms of the groupoid-theoretical isomorphisms in a family of identical structures. Second, we argue that quantum mechanics can be understood in terms of a linearization of Klein's Erlangen program. This stance leads us to an interpretation of the fact that quantum numbers are “indices characterizing representations of groups” ((Weyl, 1931a), p.xxi) in terms of a correspondence between the ontological categories of identity and determinateness.     

Multiplicity in Everett׳s interpretation of quantum mechanics

Everett׳s interpretation of quantum mechanics was proposed to avoid problems inherent in the prevailing interpretational frame. It assumes that quantum mechanics can be applied to any system and that the state vector always evolves unitarily. It then claims that whenever an observable is measured, all possible results of the measurement exist. This notion of multiplicity has been understood in different ways by proponents of Everett׳s theory. In fact the spectrum of opinions on various ontological questions raised by Everett׳s approach is rather large, as we attempt to document in this critical review. We conclude that much remains to be done to clarify and specify Everett׳s approach.     

扩展Hermite方程及其求解

用级数展开法,严格求解了一二阶微分方程,此方程的特殊情况是Ｈｅｒｍｉｔｅ方程,并讨论了方程的本征值以及本征函数的正交性问题,最后还讨论了方程所对应的数种实际物理模型。     

诱生引力量子宇宙模型

本文得到了 近似下的诱生引力宇宙波函数,当诱生引力耦合常数取牛顿引力常数时,等效标度因子α的数量级为普朗克长度。在U(α、x)<0的Lorentz区,宇宙演化为Desitter宇宙。     

浅谈如何整合应用物理学专业《原子物理学》与《量子力学》课程的内容体系

介绍了对应用物理学专业《原子物理学》与《量子力学》课程内容体系进行整合的情况。     

篮球防守假动作及技术分析

对防守中的假动作及技术做了浅显的分析,强调了在运用过程中应注意的问题,以便在篮球训练中有目的学习和掌握该项技术,增加防守的有效性,促进训练水平的提高.     

量子信息安全技术

自从BB84量子密钥分配协议提出以来,量子加密技术得到了迅速发展,以加密技术为基础的量子信息安全技术也得到了快速发展。为了更全面地、系统地了解量子信息安全技术当前的发展状况和以后发展的趋势,文中通过资料查新,以量子加密技术为基础,阐述了量子密钥分配协议及其实现、量子身份认证和量子数字签名、量子比特承诺等多种基于量子特性的信息安全技术的新发展和新动向。     

量子语言的一些性质

给出了不同输入字符集上两个q 自动机张量积的定义,研究了不同输入字符集上两个q 自动机的张量积识别的语言.同时讨论了η 量子语言和广义η 量子语言,给出了η 量子语言和广义η 量子语言的一些性质.     

量子自动机的格同态

给出了量子自动机的格上同态、子格、理想、同构嵌入的定义,并且研究了量子自动机的格上同态、子格、理想的性质,同时讨论了量子自动机的格上子格、理想与同态之间的关系,得出了量子自动机的格的一些性质.