The Gauged O ( 3 ) Sigma Model : Schrödinger Representation and Hamilton - Jacobi Formulation
نویسنده
چکیده
We first study a free particle on an (n − 1)-sphere in an extended phase space, where the originally second-class Hamiltonian and constraints are now in strong involution. This allows for a Schrödinger representation and a Hamilton-Jacobi formulation of the model. We thereby obtain the free particle energy spectrum corresponding to that of a rigid rotator. We extend these considerations to a modified version of the field theoretical O(3) nonlinear sigma model, and obtain the corresponding energy spectrum as well as BRST Lagrangian. PACS: 02.30.Jr; 11.10.Ef; 11.10.Lm; 11.30.Na
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