On Generalized Super-Coherent States

Details On Generalized Super-Coherent States On Generalized Super-Coherent States

1998-04-20

arxiv.org/abs/quant-ph/9804046v1

Phys.Atom.Nucl.61:1821-1824,1998; Yad.Fiz.61:1935-1938,1998

Physics

Quantum Physics

9 pages, Latex file. Submitted for publication to Yadernaya Fizika (Russian Journal of Nuclear Physics)

Scientific paper

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.

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