✦ LIBER ✦
An exactly solvable many-body problem in one dimension and the short-range Dyson model
✍ Scribed by Sudhir R. Jain; Avinash Khare
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 80 KB
- Volume
- 262
- Category
- Article
- ISSN
- 0375-9601
No coin nor oath required. For personal study only.
✦ Synopsis
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.