On Quantum Systems of Particles with Pair Long-Range Magnetic Interaction in One Dimension

Skrypnik, W. I. (1998) On Quantum Systems of Particles with Pair Long-Range Magnetic Interaction in One Dimension. (Preprint)

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Abstract

Quantum one-dimensional systems of particles interacting via a (singular) “collective” (depending on all the position vectors of particles) vector electromagnetic potential is considered in the thermodynamic limit .The Gibbs(grand-canonical) reduced density matrices for the Maxwell-Boltzmann statistics are computed in the limit for a pair interaction, generated by a pair magnetic scalar potential ϕ, which is a sum of a short-range, increasing and long-range decreasing potentials. The considered n-particle systems are integrable and have a trivial thermodynamics.

Item Type: Article
Divisions: School of Theoretical Physics > Preprints
Date Deposited: 19 Jun 2018 14:07
Last Modified: 18 Jul 2018 10:32
URI: http://dair.dias.ie/id/eprint/685

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