gln+1 ALGEBRA OF MATRIX DIFFERENTIAL OPERATORS AND MATRIX QUASI-EXACTLY-SOLVABLE PROBLEMS

The generators of the algebra <em>gl<sub>n+1</sub></em> in the form of differential operators of the first order acting on <strong>R</strong><sup><em>n</em></sup> with matrix coefficients are explicitly written. The algebraic Hamiltonians f...

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Bibliographic Details
Main Authors: Yuri F. Smirnov, Alexander Turbiner
Format: Article
Language:English
Published: CTU Central Library 2013-10-01
Series:Acta Polytechnica
Online Access:https://ojs.cvut.cz/ojs/index.php/ap/article/view/1872
Description
Summary:The generators of the algebra <em>gl<sub>n+1</sub></em> in the form of differential operators of the first order acting on <strong>R</strong><sup><em>n</em></sup> with matrix coefficients are explicitly written. The algebraic Hamiltonians for matrix generalization of 3−body Calogero and Sutherland models are presented.
ISSN:1210-2709
1805-2363