On Generalized Super-Coherent States
Quantum Physics
2011-04-15 v1 High Energy Physics - Theory
Mathematical Physics
math.MP
Quantum Algebra
Abstract
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.
Cite
@article{arxiv.quant-ph/9804046,
title = {On Generalized Super-Coherent States},
author = {M. Daoud and Y. Hassouni and M. Kibler},
journal= {arXiv preprint arXiv:quant-ph/9804046},
year = {2011}
}
Comments
9 pages, Latex file. Submitted for publication to Yadernaya Fizika (Russian Journal of Nuclear Physics)