On quantum systems of particles with singular magnetic interaction in one dimension. M-B statistics

Анотація

Quantum one-dimensional systems of particles interacting via singular "collective" (depending on all the position vectors of particles) vector electromagnetic potential is considered in a thermodynamic limit. The reduced density matrices in the limit are computed for the cases short-range interaction and one-dimensional analog of the Chern--Simons interaction (the j-th "collective" vector electromagnetic potential of n particles equals the partial derivative in the position vector of the j-th particle of the Coulomb potential energy of a system of n charged particles).