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arXiv 1601.04735quant-ph
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正常模式。The true story

Normal modes. The true story

Emil Zak

摘要:

这篇文章的目的是对分子振动的简正模进行全面的描述。出发点被选择为具有分离的质心和任意嵌入的体固轴的一般分子系统。这使得我们可以只关注内部自由度,而将旋转运动的问题抛在脑后。然而,为了完整起见,我们首先介绍了一个一般的量子力学哈密顿在Eckart-Watson表示,使一个快速的飞跃到一个简化的谐波描述的内部运动和刚性转子的旋转自由度。这一制度构成了更复杂计算的基础。

英文摘要:

The aim of this article is a comprehensive description of normal modes of molecular vibrations. The starting point is chosen to be a general molecular system with separated center of mass and an arbitrary embedding of body-fixed axes. This allows to focus on internal degrees of freedom only, leaving the problem of rotational motion behind. Nevertheless, for the sake of completeness we first introduce a general quantum-mechanical Hamiltonian in Eckart-Watson representation, to make a quick leap into a simplified harmonic description for internal motion and rigid rotor for rotational degrees of freedom. This regime constitutes a basis for more sophisticated calculations.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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