An exactly solvable many-body problem in one dimension and the short-range Dyson model |
| |
| Institution: | 1. Department of Earth Sciences, University of Geneva, Rue des Maraichers 13, Geneva 1205, Switzerland;2. Faculty of Geology, Lomonosov Moscow State University, Vorobyovy Gory 1, Moscow 119234, Russian Federation;3. Fersman Mineralogical Museum, Russian Academy of Sciences, Leninskiy prospekt 18, korp.2, Moscow 119071, Russian Federation;4. Institute of Experimental Mineralogy, Russian Academy of Sciences, ul. Akademika Osipyana 4, Chernogolovka 142432, Russian Federation;5. Vernadsky Institute of Geochemistry and Analytical Chemistry, Russian Academy of Sciences, ul. Kosygina 19, Moscow 119991, Russian Federation;6. Geological Institute, Russian Academy of Sciences, Pyzhevsky per. 7, Moscow 119017, Russian Federation |
| |
| 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. |
| |
| Keywords: | |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
