Quons, coherent states and intertwining operators

Chong Li

The relationship between SG phase operators and q=0 quon operators was investigated. SG phase states and q=0 quon coherent states have the same form.

Peter W. Milonni, Michael Martin Nieto

T. K. Kar, Gautam Kumar Ghosh

Coherent states for quons are constructed as eigenstates of the annihilation operator and their properties are studied. In particular, it is shown that these states form a complete set with respect to a measure.

Jan Peřina, Z. Hradil, Branislav Jurčo

Mohammed Daoud A, Y. Hassouni, M. Kibler

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.

Peter W. Milonni, Michael Martin Nieto