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An exactly solvable many-body problem in one dimension

Sudhir R. Jain·Avinash Khare
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Abstract

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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Sudhir R. Jain, Avinash Khare. 1999-04-09. An exactly solvable many-body problem in one dimension. https://doi.org/10.1016/s0375-9601(99)00637-4

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