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Paper IPM / Physic / 7142 |
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Abstract: | |
A convenient formalism is developed to treat classical dynamical
systems involving (p=2) parafermionic and parabosonic dynamical
variables. This is achieved via the introduction of a
parabracketwhich summarizes the para-commutation relations of the
corresponding Green components in a unified manner. The formalism
is used to investigate the supersymmetries of a system consisting
of a (p=2) parabose and a (p=2) parafermi oscillator. This
suggests a definition for supersymmetric paraquantum mechanics of
order (p=2). For such systems the degeneracy structure of the
spectrum is also analyzed.
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