On Quantum Systems of Particles with Singular Magnetic Interactions in One Dimension. M-B Statistics

Skrypnik, W. I. (1995) On Quantum Systems of Particles with Singular Magnetic Interactions in One Dimension. M-B Statistics. (Preprint)

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Abstract

Quantum one-dimensional systems of particles interacting via singular “collective” (depending on all the position vectors of particles) vector electromagnetic potential is considered in the thermodynamic limit. The reduced density matrices in the limit are computed for the cases of short-range interaction and one-dimensional analog of Chern-Simons interaction (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).

Item Type: Article
Divisions: School of Theoretical Physics > Preprints
Date Deposited: 19 Jun 2018 14:08
Last Modified: 18 Jul 2018 13:23
URI: http://dair.dias.ie/id/eprint/658

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