  Heckman introduced $N$ operators on the space of polynomials in $N$
variables, such that these operators form a covariant set relative to
permutations of the operators and variables, and such that Jack symmetric
polynomials are eigenfunctions of the power sums of these operators. We
introduce the analogues of these $N$ operators for Macdonald symmetric
polynomials, by using Cherednik operators. The latter operators pairwise
commute, and Macdonald polynomials are eigenfunctions of their power sums. We
compute the limits of our operators at $N\to\infty$. These limits yield the
same Lax operator for Macdonald symmetric functions as constructed in our
previous work.
