We present a survey of the theory of coherent states (CS) and some of their generalizations,
with emphasis on the mathematical structure, rather than on physical applications. Starting …

We solve the N-body Calogero problem, ie, N particles in one dimension subject to a two-
body interaction of the form 1 2 Σ i, j [(xi− xj) 2+ g (xi− xj) 2], by constructing annihilation and …

The Landau problem is discussed in two similar but still different non-commutative
frameworks. The “standard” one, where the coupling to the gauge field is achieved using …

Within a group-theoretical approach to the description of (2+ 1)-dimensional anyons, the
minimal covariant set of linear differential equations is constructed for the fractional spin …

We discuss several applications and extensions of our previous operator solution of the N-
body quantum-mechanical Calogero problem, ie N particles in one dimension subject to a …

Anyons with arbitrary exchange phases exist on 1D lattices in ultracold gases. Yet, known
continuum theories in 1D do not match. We derive the continuum limit of 1D lattice anyons …

In this note, we study a matrix-regularized version of non-commutative U (1) Chern-Simons
theory proposed recently by Polychronakos. We determine a complete minimal basis of …

Generalized statistical distributions for identical particles are introduced for the case where
filling a single-particle quantum state by particles depends on filling states of different …

The thermodynamic of particles with intermediate statistics interpolating between Bose and
Fermi statistics is addressed in the simple case where there is one quantum number per …

The standard topological approach to indistinguishable particles formulates exchange
statistics by using the fundamental group to analyze the connectedness of the configuration …