2024-03-29T00:13:48Zhttp://uvadoc.uva.es/oai/requestoai:uvadoc.uva.es:10324/336392021-06-24T07:21:52Zcom_10324_22154com_10324_954com_10324_894col_10324_22155
Cariñena Marzo, José Fernando
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500
Herranz, F.J.
f0e0a776-1d90-47c0-94ab-8a64335d2ce2
500
Fernández-Rañada Menéndez De Luarca, Manuel
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500
2018-12-27T16:42:12Z
2018-12-27T16:42:12Z
2017
Journal of Mathematical Physics 58, 022701 (2017)
http://uvadoc.uva.es/handle/10324/33639
022701
Producción Científica
The Eisenhart geometric formalism, which transforms an Euclidean natural Hamiltonian H = T +V into a geodesic Hamiltonian T with one additional degree of freedom, is applied to the four families of quadratically superintegrable systems with multiple separability in the Euclidean plane. Firstly, the separability and superintegrability of such four geodesic Hamiltonians T_r (r = a, b, c, d) in a three-dimensional curved space are studied and then these four systems are modified with the addition of a potential Ur leading to H_r = T_r +U_r. Secondly, we study the superintegrability of the four Hamiltonians tilde{H}_r = H_r/μ_r, where μ_r is a certain position-dependent mass, that enjoys the same separability as the original system H_r. All the Hamiltonians here studied describe superintegrable systems on non-Euclidean three-dimensional manifolds with a broken spherically symmetry.
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eng
info:eu-repo/semantics/openAccess
Superintegrable systems on 3-dimensional curved spaces: Eisenhart formalism and separability
info:eu-repo/semantics/article
SI
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1701.05783.pdf
1701.05783.pdf
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364324
https://uvadoc.uva.es/bitstream/10324/33639/1/1701.05783.pdf
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license.txt
license.txt
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4250
https://uvadoc.uva.es/bitstream/10324/33639/2/license.txt
909e634ba52becf192e4e9b4bcde7863
MD5
2
10324/33639
oai:uvadoc.uva.es:10324/33639
2021-06-24 09:21:52.435
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repositorio@uva.es
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