超对称因式分解给出“拉伸”态分子Stark效应问题的精确解
Supersymmetric factorization yields exact solutions to the molecular Stark effect problem for "stretched" states
摘要：
通过调用超对称性，我们发现了一个条件，在此条件下，极性和极化分子的斯塔克效应问题受到非共振电场变得完全可解。所涉及的相互作用参数的精确可解性条件产生精确的波函数的“拉伸”状态，$|J=m,m>$，并为$|1,1>$状态的情况下，一个纯粹的诱导偶极相互作用。本征能、空间固定偶极矩、取向余弦和角动量的期望值的解析表达式允许容易地逆向工程找到创建具有预定特性的量子态所需的相互作用参数的值的问题。
英文摘要：
By invoking supersymmetry, we found a condition under which the Stark effect problem for a polar and polarizable molecule subject to nonresonant electric fields becomes exactly solvable. The exact solvability condition for the interaction parameters involved yields exact wavefunction for the "stretched" states, $|J=m,m>$, and for the $|1,1>$ state in the case of a purely induced-dipole interaction. The analytic expressions for the eigenenergy, the space-fixed dipole moment, the alignment cosine, and the expectation value of the angular momentum allow to readily reverse-engineer the problem of finding the values of the interaction parameters required for creating quantum states with preordained characteristics.
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