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arXiv quant-ph/0601195quant-ph
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基于第一量子力学原理的外电磁场中双原子分子理论

Theory of diatomic molecules in an external electromagnetic field from first quantum mechanical principles

Milan Sindelka, Nimrod Moiseyev

摘要:

我们研究了一个双原子分子与任意外电磁场相互作用的平移/转动/振动/电子动力学的一般问题。本文中开发的理论与各种具体应用有关。例如,通过激光对分子进行对准或定向、在光阱中捕获超冷分子、分子光学和干涉测量、在强激光存在下分子的旋转振动光谱、或从分子产生高阶谐波。从第一量子力学原理出发,在电偶极近似下,导出了一个适用于描述分子的质心、转动、振动和电子运动的分子哈密顿量.因此,在电磁场的存在下,电子和核的自由度之间的玻恩-奥本海默分离的概念被引入。DC/AC领域的限制的特殊情况下,然后分别讨论。最后,我们考虑一个微扰制度的弱直流/交流领域,并获得简单的解析公式相关的玻恩-奥本海默平移/旋转/振动分子哈密顿量。

英文摘要:

We study a general problem of the translational/rotational/vibrational/electronic dynamics of a diatomic molecule exposed to an interaction with an arbitrary external electromagnetic field. The theory developed in this paper is relevant to a variety of specific applications. Such as, alignment or orientation of molecules by lasers, trapping of ultracold molecules in optical traps, molecular optics and interferometry, rovibrational spectroscopy of molecules in the presence of intense laser light, or generation of high order harmonics from molecules. Starting from the first quantum mechanical principles, we derive an appropriate molecular Hamiltonian suitable for description of the center of mass, rotational, vibrational and electronic molecular motions driven by the field within the electric dipole approximation. Consequently, the concept of the Born-Oppenheimer separation between the electronic and the nuclear degrees of freedom in the presence of an electromagnetic field is introduced. Special cases of the dc/ac field limits are then discussed separately. Finally, we consider a perturbative regime of a weak dc/ac field, and obtain simple analytic formulas for the associated Born-Oppenheimer translational/rotational/vibrational molecular Hamiltonian.

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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