共线静电场和非共振线极化laser场中偶极非对称陀螺分子的经典力学：能量-动量图、分岔和可达构型空间
Classical mechanics of dipolar asymmetric top molecules in collinear static electric and nonresonant linearly polarized laser fields: energy-momentum diagrams, bifurcations and accessible configuration space
摘要：
研究了偶极非对称陀螺分子在强外场中转动运动的经典能量-动量（$E$ - $m$）图。静态电场，非共振线偏振激光场，以及两者的共线组合进行了研究。我们专门处理分子碘苯（近扁长形不对称顶部），哒嗪（近扁形不对称顶部），和碘五氟苯（中间情况）。在$E$ - $m$平面上的相对平衡点的位置和相关的分叉点由直接计算确定，在可能的情况下给出分析结果。在无法获得解析解的情况下，我们采用数值解，同时保持解决方案的性质的几何图像。对$E$ - $m$图中经典允许的转子位形空间区域的拓扑进行了分类，这种分类在表征相应量子力学问题的能量本征态方面具有潜在的应用价值.
英文摘要：
We study classical energy-momentum ($E$-$m$) diagrams for rotational motion of dipolar asymmetric top molecules in strong external fields. Static electric fields, nonresonant linearly polarized laser fields, and collinear combinations of the two are investigated. We treat specifically the molecules iodobenzene (a nearly prolate asymmetric top), pyridazine (nearly oblate asymmetric top), and iodopentafluorobenzene (intermediate case). The location of relative equilibria in the $E$-$m$ plane and associated bifurcations are determined by straightforward calculation, with analytical results given where possible. In cases where analytical solutions cannot be obtained, we resort to numerical solutions, while keeping a geometrical picture of the nature of the solutions to the fore. The classification we obtain of the topology of classically allowed rotor configuration space regions in the $E$-$m$ diagram is of potential use in characterization of energy eigenstates of the corresponding quantum mechanical problem.
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