An exactly solvable many-body problem in one dimension and the short-range Dyson model
Abstract
For N impenetrable particles in one dimension with upto next-to-nearest neighbours interaction, we obtain the exact ground state.We establish a mapping between these N-body problems and the short-range Dyson model introduced recently to model intermediate spectral statistics. We prove the absence of long-range order and off-diagonal long-range order in the corresponding many-body theory.
- Publication:
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Physics Letters A
- Pub Date:
- October 1999
- DOI:
- 10.1016/S0375-9601(99)00637-4
- arXiv:
- arXiv:cond-mat/9904121
- Bibcode:
- 1999PhLA..262...35J
- Keywords:
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- Condensed Matter
- E-Print:
- LaTeX, 4 pages, 1 figure