Quasi Exactly Solvable 2$\times$2 Matrix Equations

Details Quasi Exactly Solvable 2$\times$2 Matrix Equations Quasi Exactly Solvable 2$\times$2 Matrix Equations

1993-07-15

arxiv.org/abs/hep-th/9307099v1

J.Math.Phys. 35 (1994) 3089-3098

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, Plain TeX

Scientific paper

10.1063/1.530454

We investigate the conditions under which systems of two differential
eigenvalue equations are quasi exactly solvable. These systems reveal a rich
set of algebraic structures. Some of them are explicitely described. An exemple
of quasi exactly system is studied which provides a direct counterpart of the
Lam\'e equation.

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