201 citations · 1.3k across the 82 of their papers we have counts for
6 papers · 2 filters
Conformal field theory and the solution of the (quantum) elliptic Calogero-Sutherland system
Edwin Langmann
We review the construction of a conformal field theory model which describes anyons on a circle and at finite temperature, including previously unpublished results. This anyon mode…
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…
An explicit solution of the (quantum) elliptic Calogero-Sutherland model
Edwin Langmann
We present explicit formulas for the eigenvalues and eigenfunctions of the elliptic Calogero-Sutherland (eCS) model as formal power series to all orders in the nome of the elliptic…
Remarkable identities related to the (quantum) elliptic Calogero-Sutherland model
Edwin Langmann
We present further remarkable functional identities related to the elliptic Calogero-Sutherland (eCS) system. We derive them from a second quantization of the eCS model within a qu…
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…
Explicit solution of the (quantum) elliptic Calogero-Sutherland model
Edwin Langmann
We derive explicit formulas for the eigenfunctions and eigenvalues of the elliptic Calogero-Sutherland model as infinite series, to all orders and for arbitrary particle numbers an…