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http://dx.doi.org/10.5012/bkcs.2006.27.4.515

Observation of Supersymmetry in Rigid Symmetric Top Rotor  

Sun, Ho-Sung (Department of Chemistry, Sungkyunkwan University)
Publication Information
Bulletin of the Korean Chemical Society / v.27, no.4, 2006 , pp. 515-518 More about this Journal
Abstract
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.
Keywords
Supersymmetry; Symmetric top; Rotation;
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