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arXiv · hep-th/0105109

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

Dumitru Baleanu·Yurdahan Guler
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Abstract

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.

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Dumitru Baleanu, Yurdahan Guler. 2001-05-11. Hamilton-Jacobi treatment of a non-relativistic particle on a curved space. https://doi.org/10.1088/0305-4470%2F34%2F1%2F305

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