ep - t h / 01 05 10 9 v 1 1 1 M ay 2 00 1 Hamilton - Jacobi treatment of a non - relativistic particle on a curved space
نویسندگان
چکیده
In this paper a non-relativistic particle moving on a hypersurface in a curved space and the multidimensional rotator are investigated using the Hamilton-Jacobi formalism. The equivalence with the Dirac Hamiltonian formalism is demonstrated in both Cartesian and curvilinear coordinates. The energy spectrum of the multi-dimensional rotator is equal to that of a pure Laplace-Beltrami operator with no additional constant arising from the curvature of the sphere.
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