ONE-DIMENSIONAL SYSTEM OF IDENTICAL PARTICLES WITH COULOMB INTERACTION.

Felix Alexandrovich Berezin

Yu. E. Lozovik, Alexey V. Filinov, A. S. Arkhipov

S. Olszewski, Tomasz Roliński, Marek Cinal +1 more

Alain Dasnières de Veigy, Stéphane Ouvry

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 particle. Such systems are essentially one-dimensional. As an illustration, one considers the anyon model restricted to the lowest Landau level of a strong magnetic field at low temperature, the generalization of this model to several particles species, and the one-dimensional Calogero model. One reviews a unified algorithm to compute the statistical mechanics of these systems. It is pointed out that Haldane's generalization of the Pauli's principle can be deduced from the anyon model in a strong magnetic field at low temperature.

Alain Dasnières de Veigy, Stéphane Ouvry

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 particle. Such systems are essentially one-dimensional. As an illustration, one considers the anyon model restricted to the lowest Landau level of a strong magnetic field at low temperature, the generalization of this model to several particles species, and the one-dimensional Calogero model. One reviews a unified algorithm to compute the statistical mechanics of these systems. It is pointed out that Haldane's generalization of the Pauli principle can be deduced from the anyon model in a strong magnetic field at low temperature.

S. Olszewski, Tomasz Roliński, Marek Cinal +1 more