Martin A. Hallnäs

activity

20052023

most citedKernel functions and Bäcklund transformations for relativistic Calogero-Moser and Toda systems

28 citations · 117 across the 14 of their papers we have counts for

collaborators

Showing 2016Show all

2 papers · 1 filter

math.SP2016★ 10 cited

On the Spectra of Real and Complex Lamé Operators

William A. Haese-Hill, Martin A. Hallnäs, Alexander P. Veselov

We study Lamé operators of the form $L = - \frac{d ^{2}}{d x ^{2}} + m (m + 1) ω^{2} ℘ (ω x + z_{0}),$ with $m \in N$ and $ω$ a half-period of $℘ (z)$ . For rectangular period lattices, we c…

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 $J_{N} (a_{+}, a_{-}, b; x, y)$ for the Hamiltonians of the hyperbolic relativistic Calogero-M…