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| Paper IPM / Physic / 8399 |
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| Abstract: | |||||
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Using the partition of the number p−1 into p−1 real parts which
are not equal with each other necessarily, we develop the unitary
parasupersymmetry algebra of arbitrary order p so that the
well-known RubakovSpiridonovKhare parasupersymmetry becomes a
special case of the developed one. It is shown that the developed
algebra is realized by simple harmonic oscillator and Landau
problem on a at surface with the symmetries of h3 and h4
HeisenbergLie algebras. For this new parasupersymmetry, the
well-known unitary condition is violated, however, unitarity of
the corresponding algebra is struc- turally conserved. Moreover,
the components of the bosonic Hamiltonian operator are derived as
functions from the mean value of the partition numbers with their
label weight function.
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