O(N)-matrix difference equations and a nested Bethe ansatz
نویسندگان
چکیده
منابع مشابه
Bethe ansatz solutions to quasi exactly solvable difference equations
Bethe ansatz formulation is presented for several explicit examples of quasi exactly solvable difference equations of one degree of freedom which are introduced recently by one of the present authors. These equations are deformation of the well-known exactly solvable difference equations of the Meixner–Pollaczek, continuous Hahn, continuous dual Hahn, Wilson and Askey–Wilson polynomials. Up to ...
متن کاملFunctional relations and nested Bethe ansatz
Functional relations and nested Bethe ansatz for sl(3) chiral Potts model at q 2 = −1. Abstract We obtain the functional relations for the eigenvalues of the transfer matrix of the sl(3) chiral Potts model for q 2 = −1. For the homogeneous model in both directions a solution of these functional relations can be written in terms of roots of Bethe ansatz-like equations. In addition , a direct nes...
متن کاملBethe Ansatz and Classical Hirota Equations 1
A brief non-technical review of the recent study [1] of classical integrable structures in quantum integrable systems is given. It is explained how to identify the standard objects of quantum integrable systems (transfer matrices, Baxter's Q-operators, etc) with elements of classical non-linear integrable difference equations (τ-functions, Baker-Akhiezer functions, etc). The nested Bethe ansatz...
متن کامل/ 96 11 00 6 v 1 1 N ov 1 99 6 U ( N ) Matrix Difference Equations and a Nested Bethe Ansatz
A system of U(N)-matrix difference equations is solved by means of a nested version of a generalized Bethe Ansatz. The highest weight property of the solutions is proved and some examples of solutions are calculated explicitly.
متن کاملSpectral equivalences from Bethe Ansatz equations
The one-dimensional Schrödinger equation for the potential x + αx + l(l+ 1)/x has many interesting properties. For certain values of the parameters l and α the equation is in turn supersymmetric (Witten), quasi-exactly solvable (Turbiner), and it also appears in Lipatov’s approach to high energy QCD. In this paper we signal some further curious features of these theories, namely novel spectral ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Physics A: Mathematical and Theoretical
سال: 2012
ISSN: 1751-8113,1751-8121
DOI: 10.1088/1751-8113/45/5/055207