  We study a q-generalization of the classical Laguerre/Hermite orthogonal
polynomials. Explicit results include: the recursive coefficients, matrix
elements of generators for the Heisenberg algebra, and the Hankel determinants.
The power of quadratic relation is illustrated by comparing two ways of
calculating recursive coefficients. Finally, we derive a q-deformed version of
the Toda equations for both q-Laguerre/Hermite ensembles.
