On the symmetry of Hamiltonian systems
| dc.contributor.author | Gupta, V. G. | |
| dc.contributor.author | Sharma, P. | |
| dc.date.accessioned | 2024-07-12T20:56:16Z | |
| dc.date.available | 2024-07-12T20:56:16Z | |
| dc.date.issued | 2009 | en_US |
| dc.department | Maltepe Üniversitesi, İnsan ve Toplum Bilimleri Fakültesi | en_US |
| dc.description.abstract | In this paper, we use the formalism of Hamiltonian system on symplectic manifold due to Reeb[2] given in Abraham and Marsden[6] and Arnold[7] to derive the equation of motion for (1) A particle on a line in a plane with a spring force and (2) A free particle in n-space. The time flows for both the problems mentioned above are also determined and proved that the determined flow is a Hamiltonian flow, i.e., the symmetry of a Hamiltonian system. A non-Hamiltonian flow is also considered and it is shown that by changing the symplectic form and the phase space of the system we can convert it into a Hamiltonian flow. The translation and rotational symmetry related to linear and angular momentum respectively for the motion of a free particle in n-space is also considered, which is useful in reducing the phase space of a mechanical system. | en_US |
| dc.identifier.citation | Gupta, V. G. ve Sharma, P. (2009). On the symmetry of Hamiltonian systems. Maltepe Üniversitesi. s. 376. | en_US |
| dc.identifier.endpage | 377 | en_US |
| dc.identifier.isbn | 9.78605E+12 | |
| dc.identifier.startpage | 376 | en_US |
| dc.identifier.uri | https://hdl.handle.net/20.500.12415/2953 | |
| dc.language.iso | en | en_US |
| dc.publisher | Maltepe Üniversitesi | en_US |
| dc.relation.ispartof | International Conference of Mathematical Sciences | en_US |
| dc.relation.publicationcategory | Uluslararası Konferans Öğesi - Başka Kurum Yazarı | en_US |
| dc.rights | CC0 1.0 Universal | * |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.rights.uri | http://creativecommons.org/publicdomain/zero/1.0/ | * |
| dc.snmz | KY07677 | |
| dc.subject | Hamiltonian system | en_US |
| dc.subject | Symplectic manifold | en_US |
| dc.subject | Lie-group action | en_US |
| dc.subject | Hamiltonian flow | en_US |
| dc.title | On the symmetry of Hamiltonian systems | en_US |
| dc.type | Conference Object | |
| dspace.entity.type | Publication |
