PARASUPERSYMMETRIC QUANTUM MECHANICS

  • V.A. RUBAKOV
    Institute for Nuclear Research of the Academy of Sciences of the USSR, 60th October Anniversary Prospect, 7a, Moscow, 117312, USSR
  • V.P. SPIRIDONOV
    Institute for Nuclear Research of the Academy of Sciences of the USSR, 60th October Anniversary Prospect, 7a, Moscow, 117312, USSR

書誌事項

公開日
1988-10
DOI
  • 10.1142/s0217732388001616
公開者
World Scientific Pub Co Pte Lt

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説明

<jats:p> We construct the second order parasupersymmetric quantum mechanics of one boson and one parafermion degrees of freedom. The parasupersymmetry algebra is Q<jats:sup>2</jats:sup> Q<jats:sup>†</jats:sup>+ QQ<jats:sup>†</jats:sup>Q+Q<jats:sup>†</jats:sup>Q<jats:sup>2</jats:sup>=4QH, Q<jats:sup>3</jats:sup>=0, [H, Q]=0, where H is the Hamiltonian and Q is the para-supercharge. The spectra of this class of systems are 3-fold degenerate, at least above the second level. </jats:p>

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