Hamilton-Jacobi treatment of a non-relativistic particle on a curved space

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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 multidimensional rotator is equal to that of a pure Laplace-Beltrami operator with no additional constant arising from the curvature of the sphere.
10 pages, LaTeX

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High Energy Physics - Theory

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http://salesiana.dossiersoluciones.com/handle/123456789/185528

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/hep-th/0105109
 http://arxiv.org/abs/hep-th/0105109
 J.Phys.A34:73-80,2001
 doi:10.1088/0305-4470/34/1/305

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