Hamilton-Jacobi Treatment of a Non-Relativistic Particle on a Curved Space
| dc.contributor.author | Baleanu, D | |
| dc.contributor.author | Güler, Y | |
| dc.date.accessioned | 2020-04-09T20:37:39Z | |
| dc.date.accessioned | 2025-09-18T15:44:14Z | |
| dc.date.available | 2020-04-09T20:37:39Z | |
| dc.date.available | 2025-09-18T15:44:14Z | |
| dc.date.issued | 2001 | |
| dc.description.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. | en_US |
| dc.identifier.citation | Baleanu, 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). | en_US |
| dc.identifier.doi | 10.1088/0305-4470/34/1/305 | |
| dc.identifier.issn | 0305-4470 | |
| dc.identifier.issn | 1361-6447 | |
| dc.identifier.scopus | 2-s2.0-0035847323 | |
| dc.identifier.uri | https://doi.org/10.1088/0305-4470/34/1/305 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/14208 | |
| dc.language.iso | en | en_US |
| dc.publisher | Iop Publishing Ltd | en_US |
| dc.relation.ispartof | Journal of Physics A: Mathematical and General | |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.title | Hamilton-Jacobi Treatment of a Non-Relativistic Particle on a Curved Space | en_US |
| dc.title | Hamilton-Jacobi treatment of a non-relativistic particle on a curved space | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | Cankaya Univ, Fac Arts & Sci, Dept Math & Comp Sci, TR-06530 Ankara, Turkey | en_US |
| gdc.description.endpage | 80 | en_US |
| gdc.description.issue | 1 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.startpage | 73 | en_US |
| gdc.description.volume | 34 | en_US |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
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| gdc.oaire.keywords | High Energy Physics - Theory | |
| gdc.oaire.keywords | curvilinear coordinates | |
| gdc.oaire.keywords | energy spectrum | |
| gdc.oaire.keywords | FOS: Physical sciences | |
| gdc.oaire.keywords | Hamilton-Jacobi equations in mechanics | |
| gdc.oaire.keywords | hypersurface | |
| gdc.oaire.keywords | multidimensional rotator | |
| gdc.oaire.keywords | curved space | |
| gdc.oaire.keywords | Dirac-Hamiltonian formalism | |
| gdc.oaire.keywords | Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics | |
| gdc.oaire.keywords | non-relativistic particle | |
| gdc.oaire.keywords | High Energy Physics - Theory (hep-th) | |
| gdc.oaire.keywords | Laplace-Beltrami operator | |
| gdc.oaire.keywords | Cartesian coordinates | |
| gdc.oaire.keywords | Hamilton Jacobi formalism | |
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| gdc.virtual.author | Baleanu, Dumitru | |
| gdc.virtual.author | Güler, Yurdahan | |
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