Quantum many-body systems with nearest and next-to-nearest neighbor long-range interactions

Journal Article · Tue Mar 15 04:00:00 EST 2005 · Physical Review. B, Condensed Matter and Materials Physics

DOI:https://doi.org/10.1103/PhysRevB.71.125121· OSTI ID:20666265

Ezung, Meripeni ^[1]; Gurappa, N ^[2]; Khare, Avinash ^[3]; Panigrahi, Prasanta K ^[4]

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1. School of Physics, University of Hyderabad, Hyderabad 500 046 (India)
2. Laboratoire de Physique, Theorique et Modeles Statistiques, Bat. 100 Universite Paris-Sud, 91405, Orsay (France)
3. Institute of Physics, Sachivalaya Marg, Bhubaneswar 751 005 (India)
4. 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, Journal Name: Physical Review. B, Condensed Matter and Materials Physics Journal Issue: 12 Vol. 71; ISSN 1098-0121
• Country of Publication: United States
• Language: English

Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ANNIHILATION OPERATORS
BOUND STATE
EIGENSTATES
EXCITATION
HAMILTONIANS
HARMONIC OSCILLATORS
INTERACTION RANGE
MANY-BODY PROBLEM
OSCILLATORS
SCATTERING
SPECTRA