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.
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Homma, T., Inamoto, T. & Miyazaki, T. Alternative formulation in the constrained Hamiltonian system of a rigid rotator. Z. Phys. C - Particles and Fields 48, 105–108 (1990). https://doi.org/10.1007/BF01565611
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DOI: https://doi.org/10.1007/BF01565611