对易关系

在此基础上，从顶点模型的观点出发，我们利用Yang-Baxter方程和边界反射方程给出了双行monodromy矩阵的矩阵元之间的对易关系。

By expanding the Yang-Baxter relation and the reflection equation , we obtain the commutation relations of the elements of the double-row monodromy matrix .

通常按对应原理写出系统对易关系和量子运动方程时，未计及约束。

To our knowledge , the commutation relations and quantum equations of motion are given by using corresponding principle , it 's not satisfactory since the constraints are ignored .

分子H的李代数展开式中基本力学量的对易关系

The commutative relation of mechanic quantity for Lie algebraic expansion of molecular Hamiltonian

Dirac把量子力学的对易关系类比于经典力学中的泊松括号，建立起非相对论量子力学中的普遍变换理论.但是该理论本身能否再发展呢？

Dirac connected the quantum mechanical commutators with the classical Poisson brackets , and established the transformation theory for non-relativistic quantum mechanics .

主要是通过Yq（sl（2））代数的基本对易关系，确定了系数所必须满足的限制方程。

The commutation is made use of essential pertaining to Y_q ( sl ( 2 )) algebras and obtain the limiting equation , which the coefficients must comply to .

本文从对称变换保持系统的动力学方程（以及对易关系）不变出发，推导出量子场论中的连续对称变换所产生的守恒律，而不借助于拉格朗日体制的Noether定理。

We shall show that continuous symmetery transformation in quantum field theory , which leave the equation of motion invariant , will generate conservation laws without use Noether theorem of Lagrangian formalism .

此解与以前同类问题的多尺度微扰解不同，在Heisenberg表象中坐标和动量算符的对易关系的简化十分自然，并且量子解能十分方便地过渡到经典解。

In Heisenberg picture the difference from the earlier multiple-scale perturbation solution is that the commutation relation of coordinate and momentum operator is naturally simplified and it is very convenient to get classical result from quantum one in limit condition .

角动量对易关系与转动对称

The Commutation Relation of Angular Momentum and Rotational Symmetry

角动量算符对易关系的一个推导

A derivation of commutation relation of angular momentum operators

不确定原理可以从算符的对易关系中严格地导出，也可以由电子的衍射中定性地简单导出。

The uncertainty principle can be obtained from the commutator of operators or from the diffraction of electron .

第二种方法是应用“二次量子化”的方法来计算，这种方法不需要用对易关系，计算简便。

For the latter , one does not need to use any commutation relation , thus it is very convenient .

本文利用无穷小旋转与角动量之间的关系来推导角动量算符的对易关系。

By using the relation between unlimited rotation and angular momentum , this article derives the commutation relation of angular momentum operators .

并表明各算符间普遍存在简单循环对易关系，这种对易关系反映了不同极化态矢及各阶量子相干在脉冲序列各时间域哈密顿量作用下的演化规律。

These commutation relations govern the evolution rules of different order coherences under the action of the Hamiltonian in various stage of pulse sequence .

借助γ-矩阵和洛仑兹群生成元的对易关系，得到相应的同位旋空间的规范势的表达式。

By means of the commutation relation between the γ - matriees and the generators of the Lorentz group , we obtain the expression of gauge potential for the related " isotopic space " .

本文用旋量零标架方法计算相对论性氢原子能级，所得结果与Γ矩阵方法算得的结果一样，但不明显地使用任何对易关系。

In this paper , the relativistic wave equation of hydrogen atom is studied in spinor formalism . The energy formula derived is the same as that derived by Γ - matrix method , but the commutation relation is not explicitly used in the calculation .

对稳态光折变空间光孤子约束系统进行Dirac括号量子化，给出了系统的对易关系和量子场方程。

In this paper , the commutation relations and quantum equations of motion are derived based on the Dirac theory of constrained systems .

在非对易量子力学的框架内，除了物理体系量子化引起的坐标和动量之间的非对易关系外，还有非对易相空间本身包含的坐标之间，动量之间的非对易性。

Besides the noncommutativity of coordinate and moment brought by quantization of physical systems , in the frame of noncommutative quantum mechanics , there has the noncommutative relation between coordinates or momentum included by the phase space .