Representations of generalized oscillator algebra
The representations of the oscillator algebra introduced by Brzezinski et al. (Phys. Lett. B 311 (1993), 202) are classified.
q-alg↗
arXiv subjects
P. Kosinski
Publications and source records attributed to P. Kosinski.
Projectivised representations of $U_q osp(2,2)$
We construct representations of the enveloping algebra $U_q osp(2,2)$ in terms of finite difference operators and we discuss this result in the framework of quasi-exactly-solvable equations.
hep-th↗
Quasi Exactly Solvable 2$\times$2 Matrix Equations
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 Lamé equation.
hep-th↗