28 citations · 87 across the 8 of their papers we have counts for
13 papers
On Razamat's and kernel identities
Simon Ruijsenaars
In recent work on superconformal quantum field theories, Razamat arrived at elliptic kernel identities of a new and striking character: They relate solely to the root systems …
Joint eigenfunctions for the relativistic Calogero-Moser Hamiltonians of hyperbolic type. III. Factorized asymptotics
Martin Hallnäs, Simon Ruijsenaars
In the two preceding parts of this series of papers, we introduced and studied a recursion scheme for constructing joint eigenfunctions of the Hamiltonians ar…
The Elliptic Painlevé Lax Equation vs. van Diejen's 8-Coupling Elliptic Hamiltonian
Masatoshi Noumi, Simon Ruijsenaars, Yasuhiko Yamada
The 8-parameter elliptic Sakai difference Painlevé equation admits a Lax formulation. We show that a suitable specialization of the Lax equation gives rise to the time-independent…
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…
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…
Product formulas for the relativistic and nonrelativistic conical functions
Martin Hallnäs, Simon Ruijsenaars
The conical function and its relativistic generalization can be viewed as eigenfunctions of the reduced 2-particle Hamiltonians of the hyperbolic Calogero-Moser system and its rela…