201 citations · 1.3k across the 82 of their papers we have counts for
4 papers · 2 filters
Explicit formulas for the eigenfunctions of the N-body Calogero model
Martin Hallnäs, Edwin Langmann
We consider the quantum Calogero model, which describes N non-distinguishable quantum particles on the real line confined by a harmonic oscillator potential and interacting via two…
A method to derive explicit formulas for an elliptic generalization of the Jack polynomials
Edwin Langmann
We review a method providing explicit formulas for the Jack polynomials. Our method is based on the relation of the Jack polynomials to the eigenfunctions of a well-known exactly s…
Singular factorizations, self-adjoint extensions, and applications to quantum many-body physics
Edwin Langmann, Ari Laptev, Cornelius Paufler
We study self-adjoint operators defined by factorizing second order differential operators in first order ones. We discuss examples where such factorizations introduce singular int…
Bosons and fermions in external fields
Edwin Langmann
Contribution to the Encyclopedia of Mathematical Physics (Elsevier, 2006): a brief and (hopefully) pedagogical introduction to quantum field theory models describing particles in e…