查询词典 noncommutative

It is significative to study the circumgyration of noncommutative ring and soliton solutions of noncommutative field theory.

这些基矢对于研究非对易环的旋转及非对易场论中的孤子解都有意义。

Every homomrphic image of a noncommutative ring is a noncommutative ring .

非交环的同态像为非交换环。

In the path integral formalism, we represent the generating functional and Green functions of Φ〓 theory by taking account of that the partial and the functional derivatives commute. Also we discuss the effective action for noncommutative scalar fields, and show how the noncommutative phase factors appear in path integral formalism. We realize that the two approaches (path integral and canonical quantizations) are completely equivalent each other.

在用路径积分方法对非对易标量场进行研究时，我们利用偏微商和泛函微商的可交换性，给出了Φ〓场格林函数和格林函数生成泛函的具体表达形式，得出了非对易相因子在路径积分方法中的具体表现形式，并对连通格林函数和有效作用量等问题做了讨论。

Though theories and methods about noncommutative problems mainly root in quantum field theory, discussing noncommutative effects on resolvable model based on quantum mechanics is important similarly.

尽管研究非对易空间问题的理论和方法主要来自于量子场论，然而，在量子力学的框架下研究一些可解模型的非对易空间效应也是非常重要的工作。

At first we discuss how noncommutative geometry arises in quantum mechanics and formulates simple noncommutative field theory.

我们讨论了非对易几何在量子力学中是如何产生的，描述了最简单的非对易场论。

The purpose of this paper is to give the way of solving the noncommutative KP hierarchy and noncommutative constraint KP hierarchy and their bi-Hamiltonian structures.

本文试图解决一般情形下的非交换KP系列及其对应约束下的cKP系列的求解问题和它们的双Hamiltonian结构。

In section 2 of Appendix, we give the Hamiltonian theory of generic noncommutative case, it shows that in this case, Hamiltonian theory of generic noncommutative case is corresponding to the commutative case under a new operation rule.

在附录二中本文给出了非交换情形下一般的Hamiltonian理论，它说明非交换的Hamiltonian理论与交换的Hamiltonian理论在一种新的运算规则下形式上保持一致。

Noncommutative field theory means that fields are thoughts of as function over noncommutative space.

非对易场论意味着场量可以看作非对易空间的函数。

In Chapter 1, briefly introduce the concept of noncommutative space and nori-commutative field theory, review the history and important results of studying the noncommutative soliton solution.

第一章，简要介绍非对易的概念及非对易场论，回顾前人在非对易孤子解方面的研究。

The free theory of noncommutative fields is the same as in the commutative case, therefore we mainly focus on the interaction of noncommutative fields.

由于非对易空间下的自由场与相应的对易空间自由场在表现形式上完全相同，因此我们主要关心场之间的相互作用。

They weren't aggressive, but I yelled and threw a rock in their direction to get them off the trail and away from me, just in case.

他们没有侵略性，但我大喊，并在他们的方向扔石头让他们过的线索，远离我，以防万一。

In slot 2 in your bag put wrapping paper, quantity does not matter in this case.

在你的书包里槽2把包装纸、数量无关紧要。