查询词典 noncommutative

At present, our main result in this direction is that we have proved the topological charge of instantons in degenerate noncommutative spacetime to be an integer, i.e., to be exactly its instanton number, using ADHM construction; by the way, we have discussed the realization of conformal symmetry of the ordinaty instanton solutions on the instanton moduli space and obtained some primary result, again using ADHM construction.

目前该方面所取得的主要成果是利用ADHM构造证明了退化的非对易时空中瞬子的拓扑荷为整数，即严格等于其瞬子数；另外，顺带用ADHM构造对通常规范场论中瞬子解的共形对称性在参数空间上的实现进行了研究并取得了初步的成果。

This is based on the definition of tensor product over R〓= R〓 R〓, where R is a noncommutative ring.

这是建立在〓上的张量积，其中R是非交换环。

In this paper the transfer function of noulinear control system is defined over a noncommutative polynomial ring, which can be extended into its quotient ring by Ore Theorem.

本文定义了非线控制系统的传递函数，这种传递函数定义在由一个非交换多项式环扩张而成的商环上用传递函数描述了非线性控制系统的三种基本联接：串联、并联与反馈。

Then in terms of dual operators, an approach to reduce nonlinear and noncommutative operator systems to a single equation is given.

其次， 利用对偶算子给出了将非线性非交换算子方程组化为单个方程求解的算法。

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。

We showed that in noncommutative case, orthonormal base vectors can be chosen to be unitary operators of any fix order.

我们证明了，在非交换条件下，能够选择标准正交基向量成为任何固定序的酉算子。

It is difficult for us to study the quantum physical systems on the noncommutative phase space.

这就给我们研究非对易空间上的量子力学问题带来了困难。

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。

In this paper, we research the noncommutative quantum mechanics by deformation quantization.

所以在本文中，我们用变形量子化的方法来研究非对易量子力学。

Plunder melds and run with this jewel!

掠夺melds和运行与此宝石！

My dream is to be a crazy growing tree and extend at the edge between the city and the forest.

此刻，也许正是在通往天国的路上，我体验着这白色的晕旋。