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Exactly Solvable Models in Mathematical Physics
August 3-8, 1998
South Ural State University
Chelyabinsk, Russia

Organizers
Anjan Kundu, Alexander B. Borisov, Arlen M. Il'in, Igor G. Korepanov, Vladimir E. Korepin, Yuri G. Stroganov

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Nonstandard realisations of sl(2) and quasiexactly solvable models
by
Arthur G. Sergheyev
Institute of Mathematics of NAS of UKraine

We present new realisations of the Lie algebra sl(2) by differential operators with 2 ×2 matrix coefficients. Making use of these realisatins, we construct new quasiexactly solvable matrix differential equations.

Date received: March 25, 1998

Copyright © 1998 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caaw-15.