ABSTRACT

This is a brief overview of the solution of Calogero-Moser-Sutherland quantum-mechanical models of type A by means of differential-difference operators and nonsymmetric Jack polynomials (NSJP's). Each such model involves N identical particles in a one-dimensional space, and the units are chosen to simplify the Hamiltonian (the type refers to the symmetry group - the Weyl group of type https://www.w3.org/1998/Math/MathML"> A N − 1 https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9780429076619/c00d8d0d-b3a0-431a-a3c2-e044ea15f7a5/content/eq248.tif" xmlns:xlink="https://www.w3.org/1999/xlink"/> which acts by permutation of coordinates).