Mostra el registre d'ítem simple
Constraint algorithm for k-presymplectic hamiltonian systems: application to singular field theories
dc.contributor.author | Gràcia Sabaté, Francesc Xavier |
dc.contributor.author | Martín Grillo, Rubén |
dc.contributor.author | Román Roy, Narciso |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada IV |
dc.date.accessioned | 2009-09-18T15:04:25Z |
dc.date.available | 2009-09-18T15:04:25Z |
dc.date.created | 2009-03-09 |
dc.date.issued | 2009-08-01 |
dc.identifier.citation | Gràcia Sabaté, Xavier; Martín Grillo, Rubén; Román Roy, Narciso. Constraint algorithm for k-presymplectic hamiltonian systems: application to singular field theories. "International Journal of Geometric Methods in Modern Physics", 1 Agost 2009, vol. 6, núm. 5, p. 851-872. |
dc.identifier.issn | 0219-8878 |
dc.identifier.uri | http://hdl.handle.net/2117/3053 |
dc.description.abstract | The k-symplectic formulation of field theories is specially simple, since only tangent and cotangent bundles are needed in its description. Its defining elements show a close relationship with those in the symplectic formulation of mechanics. It will be shown that this relationship also stands in the presymplectic case. In a natural way, one can mimick the presymplectic constraint algorithm to obtain a constraint algorithm that can be applied to k-presymplectic field theory, and more particularly to the Lagrangian and Hamiltonian formulations of field theories defined by a singular Lagrangian, as well as to the unified Lagrangian–Hamiltonian formalism (Skinner–Rusk formalism) for k-presymplectic field theory. Two examples of application of the algorithm are also analyzed. |
dc.format.extent | 22 p. |
dc.language.iso | eng |
dc.publisher | World Scientific and Engineering Academy and Society (WSEAS) |
dc.rights | Attribution-NonCommercial-NoDerivs 3.0 Spain |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística |
dc.subject.lcsh | Partial differential equations |
dc.subject.lcsh | Differential geometry |
dc.subject.lcsh | Fiber spaces (Mathematics) |
dc.subject.lcsh | Lagrangian functions |
dc.subject.lcsh | Field theory (Physics) |
dc.subject.other | k-symplectic and k-presymplectic manifolds |
dc.subject.other | Constraint algorithm |
dc.subject.other | Feld theories |
dc.subject.other | Lagrangian and Hamiltonian formalisms |
dc.title | Constraint algorithm for k-presymplectic hamiltonian systems: application to singular field theories |
dc.type | Article |
dc.subject.lemac | Equacions diferencials |
dc.subject.lemac | Geometria diferencial |
dc.subject.lemac | Feixos fibrats (Matemàtica) |
dc.subject.lemac | Espais fibrats (Matemàtica) |
dc.subject.lemac | Lagrange, Funcions de |
dc.subject.lemac | Camps, Teoria dels (Física) |
dc.contributor.group | Universitat Politècnica de Catalunya. DGDSA - Geometria Diferencial, Sistemes Dinàmics i Aplicacions |
dc.subject.ams | Classificació AMS::35 Partial differential equations::35Q Equations of mathematical physics and other areas of application |
dc.subject.ams | Classificació AMS::53 Differential geometry::53D Symplectic geometry, contact geometry |
dc.subject.ams | Classificació AMS::55 Algebraic topology::55R Fiber spaces and bundles |
dc.subject.ams | Classificació AMS::70 Mechanics of particles and systems::70H Hamiltonian and Lagrangian mechanics |
dc.subject.ams | Classificació AMS::70 Mechanics of particles and systems::70S Classical field theories |
dc.rights.access | Open Access |
local.citation.author | Gràcia Sabaté, Xavier; Martín Grillo, Rubén; Román Roy, Narciso |
local.citation.publicationName | International Journal of Geometric Methods in Modern Physics |
local.citation.volume | 6 |
local.citation.number | 5 |
local.citation.startingPage | 851 |
local.citation.endingPage | 872 |
Fitxers d'aquest items
Aquest ítem apareix a les col·leccions següents
-
Articles de revista [3.269]
-
Articles de revista [50]