Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2003-02-15
Physics
High Energy Physics
High Energy Physics - Theory
18 pages
Scientific paper
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 Schr\"odinger 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.
Hong Soon-Tae
Rothe Klaus D.
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