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Journal of Baoji University of Arts and Sciences

Two-parameter deformed Fermion coherent state and SU(3) charged,hypercharged Fermion coherent state

Fang Yu

Published Jan 1, 2000• 0 citations
OpenAlex

Abstract

The q deformed Fermion coherent state was extended into the case of two parameters.The qs deformed Fermion coherent state and SU(3) charged,hypercharged Fermion coherent state have been constructed with the similar way of dealing with two parameter deformed Boson oscillator algebra.

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A set of operators, the so-called k-fermion operators, that interpolate between boson and fermion operators are introduced through the consideration of an algebra arising from two non-commuting quon algebras. The deformation parameters q and 1/q for these quon algebras are roots of unity with q to the power k being equal to 1. The case k = 2 corresponds to fermions and the case k going to infinity to bosons. Generalized coherent states (connected to the k-fermionic states) and super-coherent states (involving a k-fermionic sector and a purely bosonic sector) are investigated.