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2-geometries and the Hamilton–Jacobi equation
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| Zeitschriftentitel: | Journal of Mathematical Physics |
|---|---|
| Personen und Körperschaften: | , , |
| In: | Journal of Mathematical Physics, 45, 2004, 2, S. 725-735 |
| Format: | E-Article |
| Sprache: | Englisch |
| veröffentlicht: |
AIP Publishing
|
| Schlagwörter: |
| author_facet |
Garcı́a-Godı́nez, Patricia Newman, Ezra Ted Silva-Ortigoza, Gilberto Garcı́a-Godı́nez, Patricia Newman, Ezra Ted Silva-Ortigoza, Gilberto |
|---|---|
| author |
Garcı́a-Godı́nez, Patricia Newman, Ezra Ted Silva-Ortigoza, Gilberto |
| spellingShingle |
Garcı́a-Godı́nez, Patricia Newman, Ezra Ted Silva-Ortigoza, Gilberto Journal of Mathematical Physics 2-geometries and the Hamilton–Jacobi equation Mathematical Physics Statistical and Nonlinear Physics |
| author_sort |
garcı́a-godı́nez, patricia |
| spelling |
Garcı́a-Godı́nez, Patricia Newman, Ezra Ted Silva-Ortigoza, Gilberto 0022-2488 1089-7658 AIP Publishing Mathematical Physics Statistical and Nonlinear Physics http://dx.doi.org/10.1063/1.1639957 <jats:p>By using two different procedures we show that on the space of solutions of a certain class of second-order ordinary differential equations, u″=Λ(s,u,u′), a two-dimensional definite or indefinite metric, gab, can be constructed such that the two-dimensional Hamilton–Jacobi equation, gabu,au,b=1 holds. Furthermore, we show that this structure is invariant under a certain subset of contact transformations (canonical transformations). Two examples are given.</jats:p> 2-geometries and the Hamilton–Jacobi equation Journal of Mathematical Physics |
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Journal of Mathematical Physics |
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| title |
2-geometries and the Hamilton–Jacobi equation |
| title_unstemmed |
2-geometries and the Hamilton–Jacobi equation |
| title_full |
2-geometries and the Hamilton–Jacobi equation |
| title_fullStr |
2-geometries and the Hamilton–Jacobi equation |
| title_full_unstemmed |
2-geometries and the Hamilton–Jacobi equation |
| title_short |
2-geometries and the Hamilton–Jacobi equation |
| title_sort |
2-geometries and the hamilton–jacobi equation |
| topic |
Mathematical Physics Statistical and Nonlinear Physics |
| url |
http://dx.doi.org/10.1063/1.1639957 |
| publishDate |
2004 |
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725-735 |
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<jats:p>By using two different procedures we show that on the space of solutions of a certain class of second-order ordinary differential equations, u″=Λ(s,u,u′), a two-dimensional definite or indefinite metric, gab, can be constructed such that the two-dimensional Hamilton–Jacobi equation, gabu,au,b=1 holds. Furthermore, we show that this structure is invariant under a certain subset of contact transformations (canonical transformations). Two examples are given.</jats:p> |
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| author | Garcı́a-Godı́nez, Patricia, Newman, Ezra Ted, Silva-Ortigoza, Gilberto |
| author_facet | Garcı́a-Godı́nez, Patricia, Newman, Ezra Ted, Silva-Ortigoza, Gilberto, Garcı́a-Godı́nez, Patricia, Newman, Ezra Ted, Silva-Ortigoza, Gilberto |
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| container_issue | 2 |
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| container_title | Journal of Mathematical Physics |
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| description | <jats:p>By using two different procedures we show that on the space of solutions of a certain class of second-order ordinary differential equations, u″=Λ(s,u,u′), a two-dimensional definite or indefinite metric, gab, can be constructed such that the two-dimensional Hamilton–Jacobi equation, gabu,au,b=1 holds. Furthermore, we show that this structure is invariant under a certain subset of contact transformations (canonical transformations). Two examples are given.</jats:p> |
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| imprint | AIP Publishing, 2004 |
| imprint_str_mv | AIP Publishing, 2004 |
| institution | DE-D161, DE-Gla1, DE-Zi4, DE-15, DE-Pl11, DE-Rs1, DE-105, DE-14, DE-Ch1, DE-L229, DE-D275, DE-Bn3, DE-Brt1 |
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| series | Journal of Mathematical Physics |
| source_id | 49 |
| spelling | Garcı́a-Godı́nez, Patricia Newman, Ezra Ted Silva-Ortigoza, Gilberto 0022-2488 1089-7658 AIP Publishing Mathematical Physics Statistical and Nonlinear Physics http://dx.doi.org/10.1063/1.1639957 <jats:p>By using two different procedures we show that on the space of solutions of a certain class of second-order ordinary differential equations, u″=Λ(s,u,u′), a two-dimensional definite or indefinite metric, gab, can be constructed such that the two-dimensional Hamilton–Jacobi equation, gabu,au,b=1 holds. Furthermore, we show that this structure is invariant under a certain subset of contact transformations (canonical transformations). Two examples are given.</jats:p> 2-geometries and the Hamilton–Jacobi equation Journal of Mathematical Physics |
| spellingShingle | Garcı́a-Godı́nez, Patricia, Newman, Ezra Ted, Silva-Ortigoza, Gilberto, Journal of Mathematical Physics, 2-geometries and the Hamilton–Jacobi equation, Mathematical Physics, Statistical and Nonlinear Physics |
| title | 2-geometries and the Hamilton–Jacobi equation |
| title_full | 2-geometries and the Hamilton–Jacobi equation |
| title_fullStr | 2-geometries and the Hamilton–Jacobi equation |
| title_full_unstemmed | 2-geometries and the Hamilton–Jacobi equation |
| title_short | 2-geometries and the Hamilton–Jacobi equation |
| title_sort | 2-geometries and the hamilton–jacobi equation |
| title_unstemmed | 2-geometries and the Hamilton–Jacobi equation |
| topic | Mathematical Physics, Statistical and Nonlinear Physics |
| url | http://dx.doi.org/10.1063/1.1639957 |