The symmetry algebra of the Smorodinsky-Winternitz II system is identified as the Laguerre-Heun algebra through explicit operators Y, W and their commutation relations.
The Heun operator of Hahn type
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
The Heun-Hahn operator on the uniform grid is defined. This operator is shown to map polynomials of degree $n$ to polynomials of degree $n+1$, to be tridiagonal in bases made out of either Pochhammer or Hahn polynomials and to be bilinear in the operators of the Hahn algebra. The extension of this algebra that includes the Heun-Hahn operator as generator is described. Biorthogonal rational functions on uniform grids are shown to be related to this framework.
fields
math-ph 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
The 2D Smorodinsky--Winternitz II system and the Laguerre--Heun algebra
The symmetry algebra of the Smorodinsky-Winternitz II system is identified as the Laguerre-Heun algebra through explicit operators Y, W and their commutation relations.