Baleanu, DGüler, Y01. Çankaya Üniversitesi02.02. Matematik02. Fen-Edebiyat Fakültesi2020-04-092025-09-182020-04-092025-09-182001Baleanu, D.; Güler, Y., "Hamilton-Jacobi treatment of a non-relativistic particle on a curved space" Journal Of Physics A-Mathematical And General, Vol.34, No.1, pp. 73-80, (2001).0305-4470https://doi.org/10.1088/0305-4470/34/1/305https://hdl.handle.net/20.500.12416/14208In 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.eninfo:eu-repo/semantics/closedAccessArticle10.1088/0305-4470/34/1/3052-s2.0-0035847323