201 citations · 1.3k across the 82 of their papers we have counts for
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math-ph2007
Non-commutative geometry and exactly solvable systems
Edwin Langmann
I present the exact energy eigenstates and eigenvalues of a quantum many-body system of bosons on non-commutative space and in a harmonic oszillator confining potential at the self…
math-ph2007★ 23 cited
A unified construction of generalised classical polynomials associated with operators of Calogero-Sutherland type
Martin Hallnäs, Edwin Langmann
In this paper we consider a large class of many-variable polynomials which contains generalisations of the classical Hermite, Laguerre, Jacobi and Bessel polynomials as special cas…
math-ph2007★ 7 cited
Singular Eigenfunctions of Calogero-Sutherland Type Systems and How to Transform Them into Regular Ones
Edwin Langmann
There exists a large class of quantum many-body systems of Calogero-Sutherland type where all particles can have different masses and coupling constants and which nevertheless are…