26 citations · 128 across the 12 of their papers we have counts for
12 papers
Exclusion Statistics in Classical Mechanics
T. H. Hansson, S. B. Isakov, J. M. Leinaas +1
We present a general method to derive the classical mechanics of a system of identical particles in a way that retains information about quantum statistics. The resulting statistic…
Classical phase space and statistical mechanics of identical particles
T. H. Hansson, S. B. Isakov, J. M. Leinaas +1
Starting from the quantum theory of identical particles, we show how to define a classical mechanics that retains information about the quantum statistics. We consider two examples…
Non-Abelian Chern-Simons Particles in an External Magnetic Field
Serguei B. Isakov, Gustavo Lozano, Stéphane Ouvry
The quantum mechanics and thermodynamics of SU(2) non-Abelian Chern-Simons particles (non-Abelian anyons) in an external magnetic field are addressed. We derive the N-body Hamilton…
Conductance and Shot Noise for Particles with Exclusion Statistics
Serguei B. Isakov, Thierry Martin, Stéphane Ouvry
The first quantized Landauer approach to conductance and noise is generalized to particles obeying exclusion statistics. We derive an explicit formula for the crossover between the…
Quantum liquids of particles with generalized statistics
Serguei B. Isakov
We propose a phenomenological approach to quantum liquids of particles obeying generalized statistics of a fermionic type, in the spirit of the Landau Fermi liquid theory. The appr…
Algebra of Observables for Identical Particles in One Dimension
Serguei B. Isakov, Jon Magne Leinaas, Jan Myrheim +2
The algebra of observables for identical particles on a line is formulated starting from postulated basic commutation relations. A realization of this algebra in the Calogero model…