$gl_{n+1}$ algebra of Matrix Differential Operators and Matrix Quasi-exactly-solvable Problems
Mathematical Physics
2016-11-28 v1 math.MP
Representation Theory
Exactly Solvable and Integrable Systems
Abstract
The generators of the algebra in a form of differential operators of the first order acting on with matrix coefficients are explicitly written. The algebraic Hamiltonians for a matrix generalization of body Calogero and Sutherland models are presented.
Keywords
Cite
@article{arxiv.1306.1377,
title = {$gl_{n+1}$ algebra of Matrix Differential Operators and Matrix Quasi-exactly-solvable Problems},
author = {Yu. F. Smirnov and A. V. Turbiner},
journal= {arXiv preprint arXiv:1306.1377},
year = {2016}
}
Comments
22 pages, 2 figures, Dedicated to Miloslav Havlicek on the occasion of his 75th birthday