经典力学

This more general theory does not contradict the classical transformation and classical mechanics.

这个更为普遍的理论与经典转换和经典力学并不矛盾。

This is another example showing that semiclassical method provides a bridge between quantum and classical mechanics.

这是半经典理论为联系量子力学与经典力学起桥梁作用的又一证明。

By comparison between equations of motion of geometrical opticsand that of classical statistical mechanics,we find that there should be an analogy between GO and CSM instead of GO and classical mechanics.

本文将几何光学和经典统计力学的运动方程相比较之后，指出几何光学应与经典统计力学具有相似性，而不是与经典力学具有相似性。

We've found that on symplectic manifolds there exists a series of Euler-Lagrange cohomology groups different from both de Rham and harmonic cohomology in general and proposed a set of general volume-preserving equations that contain the Hamiltonian equations as a special case.

中文摘要：我们发现在作为经典力学中的相空间的辛流形上有可能存在不同于de Rham上同调和调和形式的上同调，称之为Euler-Lagrange上同调；提出相空间上保体积的一般方程，通常的正则方程是其特殊形式；进而推广了经典力学中著名的刘维定理；同时把Noether定理与上同调联系起来。

Quantum mechanic requires the states of a dynamical system and the dynamical variables to be interconnected in quite strange ways that are unitelligible from the classical standpoint.

这一章内容内容要概括是一件很不容易的事情。首先Dirac讨论了量子力学与经典力学的重要区别：在量子力学，一个力学系统的态与力学变量的联系方式很不一样。

Furthermore,we find that the total time derivative of a function in Lagrangian has some relationship with phase factor of the wave function.

而且在具体计算过程中，我们发现在经典Lagrange量中的全微分项与波函数的相位有一定关联，但我们知道Lagrange量中的全微分项对其所对应的经典运动方程并没有影响，它可以在经典力学中被任意地舍去。

Here is a different state of affairs from classical mechanics, where absolute uniform motion is quite meaningless because of Galileo's law of inertia.

这里的情况跟经典力学不同，在经典力学中，由于伽利略惯性定理的关系，绝对的匀速直线运动是毫无意义的。

The agreement of the peaks between |ρN|2 and the length of the classical periodic orbit suggests the correspondence of quantum mechanics and classical mechanics.

量子谱中的每一条峰正好对应一条经典周期轨道的长度，表明量子力学和经典力学的对应关系。

Combining with the mechanics theory of yield and fracture of metal in classical mechanics and fracture mechanics,crack formation criteria of ductile metal in stress triaxiality space is deduced by studying fracture stress field in root of notched bar made by ductile metal.

结合经典力学和断裂力学对金属屈服和断裂解释的力学原理，通过对延性金属刻痕杆刻痕根部断裂应力场分析，推导了延性金属在应力三轴空间的微观裂纹形成准则。

The relationship between the Riemannian geometric framework of Lagrange equation and the topology graph representation of classic mechanical systems is discussed.

讨论了经典力学系统中拉格朗日方程的黎曼几何表示和力学系统拓扑图表示之间的关系，作为应用。

For a big chunk of credit-card losses; the number of filings (and thus charge-off rates) would be rising again, whether

年美国个人破产法的一个改动使得破产登记急速下降，而后引起了信用卡大规模的亏损。

Eph. 4:23 And that you be renewed in the spirit of your mind

弗四23 而在你们心思的灵里得以更新