Many-body problem in one-dimension

Physics

Scientific paper

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Many Body Problem, Particle Theory, Theoretical Physics, Bosons, Electrons, Mathematical Models, Particle Spin, Quantum Mechanics, Spin-Spin Coupling

Scientific paper

Many-body systems in one dimension are examined and a particular strong-coupling model is considered. The model provides description of the chains of mercury ions in Hg/sub 3-delta/AsF6; some of the predictions of the theory can be checked by X-ray and neutron diffraction. Much of the physics of nearly one dimensional materials is concerned with understanding the possible types of phase transition that may take place, and establishing the conditions in which one or another will be predominant. The most significant feature of purely one dimensional systems is dominant effect of fluctuations. Qualitative aspects of one dimensional systems (qualitative discussion of strong coupling - strong attractive U, strong repulsive U, large V); strong coupling between parallel spins (independent spin systems, coupling between opposite spins); mercury chains; electrons with arbitrary coupling; boson representation of operators; and classical Coulomb gas are addressed.

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