Parameter-dependent commuting matrices, plücker relations and related quantum glass models

Sriram Shastry, B. (2011) Parameter-dependent commuting matrices, plücker relations and related quantum glass models Journal of Physics A: Mathematical and Theoretical, 44 (5). 052001-052011. ISSN 1751-8113

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Official URL: http://iopscience.iop.org/1751-8121/44/5/052001/

Related URL: http://dx.doi.org/10.1088/1751-8113/44/5/052001

Abstract

Type-I matrices were introduced recently as finite-dimensional prototypes of quantum integrable systems. These matrices are linearly dependent on an 'interaction' type parameter, and possess interesting properties such as commuting partner matrices and generically violate the von Neumann Wigner noncrossing rule. The important role of Plücker relations in this construction is noted. Type-I matrices are given a transparent formulation in terms of Fermi or Bose-type particle operators; they represent a quantum glass model with either Fermi or Bose statistics, with several free parameters that may be chosen at will.

Item Type:Article
Source:Copyright of this article belongs to Institute of Physics.
ID Code:50809
Deposited On:26 Jul 2011 12:40
Last Modified:18 May 2016 04:58

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