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

Ezung, Meripeni ; Gurappa, N. ; Khare, Avinash ; Panigrahi, Prasanta K. (2005) Quantum many-body systems with nearest and next-to-nearest neighbor long-range interactions Physical Review B: Condensed Matter and Materials Physics, 71 (12). 125121_1-125121_8. ISSN 1098-0121

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Official URL: http://prb.aps.org/abstract/PRB/v71/i12/e125121

Related URL: http://dx.doi.org/10.1103/PhysRevB.71.125121

Abstract

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 AN-1 and BCN models on a circle and construct a part of the excitation spectrum by making use of the symmetry arguments.

Item Type:Article
Source:Copyright of this article belongs to The American Physical Society.
ID Code:83284
Deposited On:20 Feb 2012 06:34
Last Modified:20 Feb 2012 06:34

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