Formal quantum numbers embody the important characteristics of the highly excited vibrational states , and are shown as approximate constants of motion 研究表明，形式量子数体现了高激发振动态的重要特征，是体系的近似运动守恒量。
Therefore , we can study these short distance phenomena by use of multigluon exchange among the quarks , which carries quantum numbers of vacuum 因此，我们能够通过应用夸克之间多胶子交换过程来研究这些短程现象，它们具有pomeron所应该有的真空量子数。
At the same translational energy , the cross - section increases with the rising of the rotational quantum number j , and declines with the rising of the quantum number m 在相同入射能的情况下，总散射截面随转动量子数j的增大而显著增大，随量子数m的增加而减小。
Second , the reaction probability shows resonance - like oscillatory structures in its dependence on collision energy . thirdly , the probability goes up obviously with the rising of the rotational quantum number j 第三，转动svgr模型在h cd4 ? hd cd3反应散射中的应用中文摘要激发态时体系的反应几率随转动量子数j的增大有很大幅度的提高。
Work done by author is introduced in this thesis . this work includes research on quantum cryptography theories , quantum key distribution and quantum digital signature together with application of quantum cryptography 本文介绍了作者在量子密码学领域里的工作，这些工作主要包括对量子密码理论、量子密钥分配和量子数字签名的研究，以及量子密码技术的实际应用。
According to the described quantum one - way function , a quantum digital signature scheme whose security is based on fundamental principles of quantum physics is given and that the signature scheme is absolutely secure using one method of key distribution is shown 根据所描述的量子单向函数，本文给出了一种基于量子物理的基本原理基础之上的安全性的量子数字签名，同时说明了在使用一种密钥分配的条件下，它是无条件安全的。
In the last , we find that the reaction rate c onstant and the cross - section have the similar rule for the quantum numbers j and m . finally , at present our calculated results are one of the most accurate results of the reaction h + cd4 hd + cd3 最后比较各个量子态的速率常数，我们也看出随量子数j的增加，速率常数升高，随量子数m的增加速率常数降低，这些曲线在我们的图中都呈现相似的下降趋势，这和散射截面的规律是吻合的。
In qcd description , pp elastic scattering is a gluon exchange process . in the other words , pp elastic scattering is a high energy multiple scattering of two quark - composite system . therefore , one can describe proton - proton elastic scattering by quark multiple scattering theory , such as glauber theory , although this mechanism cannot have vacuum quantum numbers requested by experiments 一方面我们可以认为质子?质子弹性散射是一个胶子交换过程，另一方面我们也可认为质子?质子弹性散射是两个夸克复合系统的多重散射过程，因此我们可以用夸克的多重散射理论，如glauber理论来描述质子?质子的弹性散射过程，虽然，这种机制不可能具有实验所要求的真空量子数。
To describe the experiments and to study the intensities of all kinds of transitions , from 1980s , wulfman , levine , lachello and oss tried a new method and proposed the algebraic model of molecules , i . e . , to calculate the spectroscopy of molecules by algebraic method . by making use of the algebraic model , we got precise results with less parameters . but it became very difficult to calculate anything as the overtone v increased , for they were done in a non - symmetry adapted bases Wulfman , levine , iachello和oss从80年代开始致力于新方法的研究，提出了分子的代数模型，即用代数的方法来研究分子的能级和跃迁强度，这种方法不仅所需要的参数较少而且得到的结果比较精确，但是由于采用的是非对称局域基，所以对于振动量子数很大的振动来说计算量很大。
