Quantum many-body systems with nearest and next-to-nearest neighbor long-range interactions
- School of Physics, University of Hyderabad, Hyderabad 500 046 (India)
- Laboratoire de Physique, Theorique et Modeles Statistiques, Bat. 100 Universite Paris-Sud, 91405, Orsay (France)
- Institute of Physics, Sachivalaya Marg, Bhubaneswar 751 005 (India)
- Physical Research Laboratory, Navrangpura, Ahmedabad 380 009 (India)
The bound and scattering states of the many-body systems, related to the short-range Dyson model, are studied. The Hamiltonian for the full-line problem is connected to decoupled oscillators. The analytically obtainable eigenstates are smaller in number as compared to the Calogero-Sutherland family, indicating the quasiexactly solvable nature of these models. The exactly found scattering states, a smaller set as compared to the Calogero case, can be realized as coherent states. The relation of the scattering Hamiltonian to free particles is also established algebraically. We analyze both A{sub N-1} and BC{sub N} models on a circle and construct a part of the excitation spectrum by making use of the symmetry arguments.
- OSTI ID:
- 20666265
- Journal Information:
- Physical Review. B, Condensed Matter and Materials Physics, Vol. 71, Issue 12; Other Information: DOI: 10.1103/PhysRevB.71.125121; (c) 2005 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 1098-0121
- Country of Publication:
- United States
- Language:
- English
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