28 citations · 87 across the 8 of their papers we have counts for
Showing 2016Show all
2 papers · 1 filter
math-ph2016
Hilbert space theory for relativistic dynamics with reflection. Special cases
Steven Haworth, Simon Ruijsenaars
We present and study a novel class of one-dimensional Hilbert space eigenfunction transforms that diagonalize analytic difference operators encoding the (reduced) two-particle rela…
math-ph2016
Joint eigenfunctions for the relativistic Calogero-Moser Hamiltonians of hyperbolic type. II. The two- and three-variable cases
Martin Hallnäs, Simon Ruijsenaars
In a previous paper we introduced and developed a recursive construction of joint eigenfunctions for the Hamiltonians of the hyperbolic relativistic Calogero-M…