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Observation of Supersymmetry in Rigid Symmetric Top Rotor

机译:刚性对称顶部转子的超对称观测

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It is explicitly shown that a supersymmetry structure exists in the spectrum of a rigid symmetric top rotor in the molecule-fixed frame. Using projection operators constructed from the time-reversal symmetry of the rotor, the full rotor Hamiltonian is separated into two parts, i.e., the bosonic and fermionic components. The construction, without ambiguity, suggests that the rotor has a supersymmetry in it. This supersymmetry is mathematically equivalent to that of the free rotor on a plane recently noted by Rau.
机译:明确表明,在分子固定框架中的刚性对称顶部转子的光谱中存在超对称结构。使用由转子的时间反转对称性构成的投影算子,将完整的转子哈密顿量分成两个部分,即,玻色子和铁离子成分。毫无歧义的构造表明转子中具有超对称性。这种超对称在数学上等同于Rau最近指出的平面上的自由转子。

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