查询词典 noncommutative algebra

The study of operator algebra bagan in 30times of 20th century. Though compary with some other theory it is relatively new, but it has unexpected application in some mathematic theory and other subject, such as quantum mechanics, noncommutative geometry, linear system, contral theory, number theory and some other important branches of mathematics.

算子代数理论产生于20世纪30年代，它在数学和其他学科中都有着出人意料的应用，它与量子力学，非交换几何，线性系统，控制理论，数论以及其他一些重要数学分支都有着广泛的联系和相互渗透。

The study of operator algebra theory began in 30s of the 20th century: With thefast development of the theory, now it has become a hot branch playing the role ofan initiator in modern mathematics. It has unexpected relations and inter infiltrationswith quantum mechanics, noncommutative geometry, linear system and control theory,number theory as well as some other important branches of mathematics.

算子代数理论产生于20世纪30年代，随着这一理论的迅速发展，它已成为现代数学的一个热门分支，它与量子力学，非交换几何，线性系统和控制理论，数论以及其它一些数学分支有着出人意料的联系和相互渗透。

In the frame of deformation quantization, one deals with functions on the phase space, and the star product deforms the commutative classical algebra of observables into the noncommutative quantum algebra of observables.

在变形量子化理论中，物理量依然是函数形式，坐标以及动量的非对易性均体现在函数之间的乘积上。

So in a noncommutative mathrm C^*-algebra, there must exist a hereditarymathrm C^*-subalgebra which is not a closed ideal.

因此在非交换的 mathrm C^*-代数中必有一个非闭理想的遗传子代数。

The algebra of quaternions, the first noncommutative algebra was thus sudd ly born.

四元数的代数，第一非交换的代数，就这样在一夜之间诞生了。

The algebra of quaternions, the first noncommutative algebra was thus suddenly born.

四元数的代数，第一非交换的代数，就这样在一夜之间诞生了。

The algebra of quaternions, the first noncommutative algebra was thus suddenly born

四元数的代数，第一非交换的代数，就这样突然诞生了。

In the same time, after shortly review the Halclanes description of the quantum Hall effect on 2-sphere S2, we obtain the corresponding noncommutative algebra An and the Moyal structure of the Hilbert space.

同时在回顾了Haldane在二维球面S~2上对量子Hall效应的描述，我们构造了S~2的非对易代数及其Hilbert空间的Moyal结构。

The algebra of quaternions, the first noncommutative algebra was thus suddenly born.

它们对应的一般代数分别是正则双Stone代数、预粗代数和半简单Nelson代数。

This one mode pays close attention to network credence foundation of the businessman very much.

这一模式非常关注商人的网络信用基础。

Cell morphology of bacterial ghost of Pasteurella multocida was observed by scanning electron microscopy and inactivation ratio was estimated by CFU analysi.

扫描电镜观察多杀性巴氏杆菌细菌幽灵和菌落形成单位评价遗传灭活率。