Exact Solution of the Sutherland Model with Arbitrary Internal Symmetry
Exact Solution of the Sutherland Model with Arbitrary Internal Symmetry
An elementary theory is presented for solving the Sutherland model with arbitrary internal symmetry such as $\mathrm{SU}(\ensuremath{\nu})$ or a supersymmetry $\mathrm{SU}(\ensuremath{\nu}, \ensuremath{\mu})$. The ground-state wave function and all the energy levels are derived. One starts with solving a variant of the model with distinguishable particles, and then (anti)symmetrizes the solution. …