16 citations · 51 across the 9 of their papers we have counts for
6 papers · 1 filter
Elliptic Integrable Systems and Special Functions
Martin Hallnäs, Edwin Langmann
We discuss elliptic quantum Calogero-Moser-Sutherland models, including their relativistic generalizations due to Ruijsenaars and van Diejen, and the relations of these models to c…
Calogero-Moser-Sutherland systems
Martin Hallnäs
We discuss integrable many-body systems in one dimension of Calogero-Moser-Sutherland type, both classical and quantum as well as nonrelativistic and relativistic. In particular, w…
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…
An Explicit Formula for Symmetric Polynomials Related to the Eigenfunctions of Calogero-Sutherland Models
Martin Hallnäs
We review a recent construction of an explicit analytic series representation for symmetric polynomials which up to a groundstate factor are eigenfunctions of Calogero-Sutherland t…
Generalized local interactions in 1D: solutions of quantum many-body systems describing distinguishable particles
Martin Hallnäs, Edwin Langmann, Cornelius Paufler
As is well-known, there exists a four parameter family of local interactions in 1D. We interpret these parameters as coupling constants of delta-type interactions which include dif…
Exact solutions of two complementary 1D quantum many-body systems on the half-line
Martin Hallnäs, Edwin Langmann
We consider two particular 1D quantum many-body systems with local interactions related to the root system . Both models describe identical particles moving on the half-line w…