sigma10-095. 186KB Jun 04 2011 12:10:46 AM
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Instead, we have to work a bit harder to establish ( 8 ) using uniform estimates on the classical Jacobi polynomials.. We assume here for simplicity that the polynomial F has
Representing such super Schur polynomial as a summation over spin path configurations, we establish the key relations ( 3.10 ) and ( 3.19 ), which show that the partition functions
Indeed all the examples of regular pseudo-bosons considered so far arise from Riesz bases [ 4 ], with a rather mathematical construc- tion, while pseudo-bosons are those which one
An integral presentation for the scalar products of nested Bethe vectors for the quantum integrable models associated with the quantum affine algebra U q ( gl b 3 ) is given..
From a classical point of view these systems are characterized by the so called “closed or- bit property” for bounded motions, and from a quantum point of view these systems present
This is done by associating a complex num- ber (a “triangular cell”) with every elementary triangle of the given graph in such a way that their collection (a “self-connection”)
We apply the Painlev´e test for integrability of partial differential equations to a system of two coupled Burgers-type equations found by Foursov, which was recently shown by
While generic solutions of the Painlev´e equations are “new transcendental functions”, there are special solutions which are expressible in terms of rational, algebraic, or
