An exactly solvable many-body problem in one dimension

Details An exactly solvable many-body problem in one dimension An exactly solvable many-body problem in one dimension

1999-04-09

arxiv.org/abs/cond-mat/9904121v1

Phys. Lett. A262 (1999) 35-39

Physics

Condensed Matter

LaTeX, 4 pages, 1 figure

Scientific paper

10.1016/S0375-9601(99)00637-4

For N impenetrable particles in one dimension where only the nearest and next-to-nearest neighbours interact, we obtain the complete spectrum both on a line and on a circle. Further, we establish a mapping between these N-body problems and the short-range Dyson model introduced recently to model intermediate spectral statistics in some systems using which we compute the two-point correlation function and prove the absence of long-range order in the corresponding many-body theory. Further, we also show the absence of off-diagonal long-range order in these systems.

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