Physics – Condensed Matter – Other Condensed Matter
Scientific paper
2010-10-17
J. Phys. A: Math. Theor. 44, 052001 (2011)
Physics
Condensed Matter
Other Condensed Matter
9 pages, two figures
Scientific paper
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 non crossing rule. The important role of Pl\"ucker 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.
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