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

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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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
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spelling doaj-ff1105e20fc044b3a69a3d2a070033ea2020-11-24T22:13:40ZengCTU Central LibraryActa Polytechnica1210-27091805-23632013-10-0153510.14311/AP.2013.53.04621862gln+1 ALGEBRA OF MATRIX DIFFERENTIAL OPERATORS AND MATRIX QUASI-EXACTLY-SOLVABLE PROBLEMSYuri F. Smirnov0Alexander Turbiner1Instituto de Ciencias Nucleares, Universidad Nacional Autónoma de México, Apartado Postal 70-543, 04510 México, D.F.Instituto de Ciencias Nucleares, Universidad Nacional Autónoma de México, Apartado Postal 70-543, 04510 México, D.F.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.https://ojs.cvut.cz/ojs/index.php/ap/article/view/1872
collection DOAJ
language English
format Article
sources DOAJ
author Yuri F. Smirnov
Alexander Turbiner
spellingShingle Yuri F. Smirnov
Alexander Turbiner
gln+1 ALGEBRA OF MATRIX DIFFERENTIAL OPERATORS AND MATRIX QUASI-EXACTLY-SOLVABLE PROBLEMS
Acta Polytechnica
author_facet Yuri F. Smirnov
Alexander Turbiner
author_sort Yuri F. Smirnov
title gln+1 ALGEBRA OF MATRIX DIFFERENTIAL OPERATORS AND MATRIX QUASI-EXACTLY-SOLVABLE PROBLEMS
title_short gln+1 ALGEBRA OF MATRIX DIFFERENTIAL OPERATORS AND MATRIX QUASI-EXACTLY-SOLVABLE PROBLEMS
title_full gln+1 ALGEBRA OF MATRIX DIFFERENTIAL OPERATORS AND MATRIX QUASI-EXACTLY-SOLVABLE PROBLEMS
title_fullStr gln+1 ALGEBRA OF MATRIX DIFFERENTIAL OPERATORS AND MATRIX QUASI-EXACTLY-SOLVABLE PROBLEMS
title_full_unstemmed gln+1 ALGEBRA OF MATRIX DIFFERENTIAL OPERATORS AND MATRIX QUASI-EXACTLY-SOLVABLE PROBLEMS
title_sort gln+1 algebra of matrix differential operators and matrix quasi-exactly-solvable problems
publisher CTU Central Library
series Acta Polytechnica
issn 1210-2709
1805-2363
publishDate 2013-10-01
description 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.
url https://ojs.cvut.cz/ojs/index.php/ap/article/view/1872
work_keys_str_mv AT yurifsmirnov gln1algebraofmatrixdifferentialoperatorsandmatrixquasiexactlysolvableproblems
AT alexanderturbiner gln1algebraofmatrixdifferentialoperatorsandmatrixquasiexactlysolvableproblems
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