量子控制偶极矩的水平集方法
Level Set Method for Quantum Control of Dipole Moment
摘要：
我们研究了特定量子背景下的水平集方法（LSM），即具有非平凡Morse势的系统的偶极跃迁矩。我们在二维空间中画出势的两个重要参数，即势的深度和势的宽度的等矩集。另一个变量被引入作为尺度，我们看到水平集垂直于轮廓的“运动”，就像在经典背景下（例如流体动力学或外延晶体生长）一样。假设通常通过光滑函数（如样条）对水平集进行插值，可以给出一种相当精确的方法来组合变量以保持偶极矩不变。
英文摘要：
We investigate the level set method (LSM) in a specific quantum context; namely the dipole transition moment for a system with a nontrivial Morse potential. We draw equal moment sets in the two-dimensional space of two important parameters of the potential, namely the depth of the potential and its width. Another variable is introduced as a scale and we see "motions" of the level sets normal to the contours, as in classical contexts such as fluid dynamics or in epitaxial crystal growth. Presumably interpolating the level sets normally by smooth functions such as splines may give a fairly accurate method of combining the variables to keep the dipole moment invariant.
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