The model of interacting spatial permutations and its relation to the Bose gas

Details The model of interacting spatial permutations and its relation to the Bose gas The model of interacting spatial permutations and its relation to the Bose gas

2007-12-14

arxiv.org/abs/0712.2443v3

Mathematical Results in Quantum Mechanics, pp 255-272, World Scientific (2008)

Physics

Condensed Matter

Statistical Mechanics

14 pages

Scientific paper

The model of spatial permutations is related to the Feynman-Kac
representation of the Bose gas. The transition to infinite cycles corresponds
to Bose-Einstein condensation. We review the general setting and some results,
and we derive a multi-body interaction between permutation jumps, that is due
to the original interactions between quantum particles.

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