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

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dc.creatorBaleanu, Dumitru
dc.creatorGuler, Yurdahan
dc.date2001-05-11
dc.date.accessioned2026-07-07T10:53:34Z
dc.date.available2026-07-07T10:53:34Z
dc.descriptionIn 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.
dc.description10 pages, LaTeX
dc.identifierhttps://arxiv.org/abs/hep-th/0105109
dc.identifierhttp://arxiv.org/abs/hep-th/0105109
dc.identifierJ.Phys.A34:73-80,2001
dc.identifierdoi:10.1088/0305-4470/34/1/305
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/185528
dc.subjectHigh Energy Physics - Theory
dc.titleHamilton-Jacobi treatment of a non-relativistic particle on a curved space
dc.typetext

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