Journal Article


W. I. Skrypnik



quantum short statistics thermodynamics electromagnetic particles vectors density

On Quantum Systems of Particles with Pair Long-Range Magnetic Interaction in One Dimension (1998)

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.
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Full list of authors on original publication

W. I. Skrypnik

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