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Parasupersymmetry in quantum mechanics

Parasupersymmetry in quantum mechanics

The various aspects of parasupersymmetric quantum mechanics of one boson and one parafermion of (arbitrary) order p are discussed in some detail. In particular it is shown that the parasupersymmetry algebra is given by Q1pQ1++Q1p−1Q1+Q1+...+Q1Q1+ Q1p−1+Q1+Q1p =2pQ1p−1H, [H,Q1]=0; Q1p+1=0 and the Hermitian conjugated relations where Q1 is the parasupercharge and …