B Sriram Shastry 2005 J. Phys. A: Math. Gen. 38 L431 doi:10.1088/0305-4470/38/23/L03
B Sriram Shastry
Show affiliationsWe present a novel class of real symmetric matrices in arbitrary dimension d, linearly dependent on a parameter x. The matrix elements satisfy a set of nontrivial constraints that arise from asking for commutation of pairs of such matrices for all x, and an intuitive sufficiency condition for the solvability of certain linear equations that arise therefrom. This class of matrices generically violates the Wigner von Neumann non-crossing rule, and is argued to be intimately connected with finite-dimensional Hamiltonians of quantum integrable systems.
81R12 Relations with integrable systems (See also 17Bxx, 37J35)
Issue 23 (10 June 2005)
Received 21 March 2005, in final form 29 April 2005
Published 25 May 2005
B Sriram Shastry 2005 J. Phys. A: Math. Gen. 38 L431
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