Institute of Mathematics of NAS of Ukraine,
3 Tereshchenkivska Street, 01601 Kyiv-4, UKRAINE
e-mail: skrypnik@imath.kiev.ua

On integrable quantum systems of particles with magnetic point and statistical interactions

Abstract:
Quantum 2-dimensional systems with a Hamiltonian of non-relativistic spinless charged particles interacting via a collective electromagnetic pair vector Chern-Simons and point potentials, neglecting electrostatic interactions. are considered. For systems with the Maxwell-Boltzmann statistics and finite temperature the Gibbs rescaled correlation functions are calculated  in the thermodynamic limit. For special values of an interaction constant the ground state correlation functions are calculated for the bosons systems in the limit.