On Generalized Super-Coherent States

TL;DR

This paper introduces k-fermion operators that interpolate between bosons and fermions using a novel algebra from quon algebras, and explores their associated generalized and super-coherent states.

Contribution

It presents a new algebraic framework for k-fermions and constructs generalized and super-coherent states within this setting.

Findings

Defined k-fermion operators interpolating between bosons and fermions.

Constructed generalized coherent states related to k-fermionic states.

Explored super-coherent states combining k-fermionic and bosonic sectors.

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.