Alternative formulation in the constrained Hamiltonian system of a rigid rotator

Abstract

An alternative form of the constraint characterizing the motion of a rigid rotator is introduced and is shown to lead to the same constrained Hamiltonian system as the one constructed with the conventional constraintx ²=constant. In this new formulation, the canonical pairs of phase-space variables can easily be found, and the relationx ²=constant appears through an equation of motion rather than through a constraint. Application toO(N) nonlinear sigma model is also discussed.