Equivalence of the Calogero-Sutherland model to free harmonic oscillators
Equivalence of the Calogero-Sutherland model to free harmonic oscillators
A similarity transformation is constructed, through which a system of particles interacting with inverse-square two-body and harmonic potentials in one dimension can be mapped identically to a set of free harmonic oscillators. This equivalence provides a straightforward method to find the complete set of eigenfunctions, the exact constants of motion, …