PARASUPERSYMMETRIC QUANTUM MECHANICS

1 October 1988

journal article
research article
Published by World Scientific Pub Co Pte Ltd in Modern Physics Letters A

Vol. 03 (14) , 1337-1347
https://doi.org/10.1142/s0217732388001616

Abstract

We construct the second order parasupersymmetric quantum mechanics of one boson and one parafermion degrees of freedom. The parasupersymmetry algebra is Q² Q^†+ QQ^†Q+Q^†Q²=4QH, Q³=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.

Keywords

ELEMENTARY PARTICLES
DEGREE OF FREEDOM
SECOND ORDER
QUANTUM MECHANICS
SUPERSYMMETRY

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