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

Yuri F. Smirnov; Alexander Turbiner

doi:10.14311/AP.2013.53.0462

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

Authors

Yuri F. Smirnov Instituto de Ciencias Nucleares, Universidad Nacional Autónoma de México, Apartado Postal 70-543, 04510 México, D.F.
Alexander Turbiner Instituto de Ciencias Nucleares, Universidad Nacional Autónoma de México, Apartado Postal 70-543, 04510 México, D.F.

DOI:

https://doi.org/10.14311/AP.2013.53.0462

Abstract

The generators of the algebra gl_n+1 in the form of differential operators of the first order acting on Rⁿ with matrix coefficients are explicitly written. The algebraic Hamiltonians for matrix generalization of 3−body Calogero and Sutherland models are presented.

Downloads

Download data is not yet available.

Downloads

Published

2013-10-29

How to Cite

Smirnov, Y. F., & Turbiner, A. (2013). gln+1 ALGEBRA OF MATRIX DIFFERENTIAL OPERATORS AND MATRIX QUASI-EXACTLY-SOLVABLE PROBLEMS. Acta Polytechnica, 53(5), 462–469. https://doi.org/10.14311/AP.2013.53.0462