Generalized Lamé functions I. The elliptic case

  title={Generalized Lam{\'e} functions I. The elliptic case},
  author={Simon M. Ruijsenaars},
We present and study a class of functions associated with the two-particle quantum relativistic Calogero–Moser system with elliptic interactions. The functions may be viewed as joint eigenfunctions of two independent commuting analytic difference operators, one of which is the defining quantum dynamics; The second one is obtained by interchanging the step size and the imaginary period. The functions depend on parameters that are dense in the natural parameter domain. In essence, they consist of… CONTINUE READING