| Journal: | Revista mexicana de física |
| Database: | PERIÓDICA |
| System number: | 000368724 |
| ISSN: | 0035-001X |
| Authors: | Flores, R1 Nieto, J.A2 Téllez, J1 León, E.A2 Estrada, E.R3 |
| Institutions: | 1Universidad de Sonora, Departamento de Investigación en Física, Hermosillo, Sonora. México 2Universidad Autónoma de Sinaloa, Facultad de Ciencias Físico Matemáticas, Culiacán, Sinaloa. México 3Instituto Tecnológico Superior de Eldorado, Eldorado, Sinaloa. México |
| Year: | 2013 |
| Season: | Jul-Ago |
| Volumen: | 59 |
| Number: | 4 |
| Pages: | 352-358 |
| Country: | México |
| Language: | Inglés |
| Document type: | Artículo |
| Approach: | Analítico, teórico |
| English abstract | We propose an alternative geometric mathematical structure for arbitrary phase space. The main guide in our approach is the hidden SL(2,R)-symmetry which acts on the phase space changing coordinates by momenta and vice versa. We show that the SL(2,R)-symmetry is implicit in any symplectic structure. We also prove that in any sensible physical theory based on the SL(2,R)-symmetry the signature of the flat target "spacetime" must be associated with either one-time and one-space or at least two-time and two-space coordinates. We discuss the consequences as well as possible applications of our approach on different physical scenarios |
| Disciplines: | Física y astronomía |
| Keyword: | Física, Geometría simpléctica, Sistemas hamiltonianos restringidos, Física de dos tiempos |
| Keyword: | Physics and astronomy, Physics, Symplectic geometry, Constrained Hamiltonian systems, Two time physics |
| Full text: | Texto completo (Ver PDF) |
