HAMILTON-JACOBI THEORY IN k-SYMPLECTIC FIELD THEORIES

被引：19

作者：

De Leon, M. ^{[1
]}

Martin De Diego, D. ^{[1
]}

Marrero, J. C. ^{[2
]}

Salgado, M. ^{[3
]}

Vilarino, S. ^{[4
]}

机构：

[1] Inst Ciencias Matemat CSIC UAM UC3M UCM, CSIC, Madrid 28006, Spain

[2] Univ La Laguna, Dept Matemat Fundamental, Fac Matemat, E-38207 San Cristobal la Laguna, Spain

[3] Univ Santiago de Compostela, Dept Xeometria & Topoloxia, Fac Matemat, Santiago De Compostela 15782, Spain

[4] Univ A Coruna, Dept Matemat, Fac Ciencias, La Coruna 15071, Spain

来源：

INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS | 2010年 / 7卷 / 08期

关键词：

Hamilton-Jacobi theory; k-symplectic field theories; TANGENT-BUNDLES; FORMALISM; MANIFOLDS; GEOMETRY;

D O I：

10.1142/S0219887810004919

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, we extend the geometric formalism of Hamilton-Jacobi theory for Mechanics to the case of classical field theories in the k-symplectic framework.

引用

页码：1491 / 1507

页数：17

共 26 条

[1] Abraham R., 1978, Foundations of Mechanics
[2] [Anonymous], HAMILTONJACOBI THEOR
[3] K-SYMPLECTIC STRUCTURES
AWANE, A
[J]. JOURNAL OF MATHEMATICAL PHYSICS, 1992, 33 (12) : 4046 - 4052
[4] Awane A., 2000, PFAFFIAN SYSTEMS K S
[5] Hamilton-Jacobi approach for first order actions and theories with higher derivatives
Bertin, M. C.
Pimentel, B. M.
Pompeia, P. J.
[J]. ANNALS OF PHYSICS, 2008, 323 (03) : 527 - 547
[6] Constructing a class of solutions for the Hamilton-Jacobi equation in field theory
Bruno, Danilo
[J]. JOURNAL OF MATHEMATICAL PHYSICS, 2007, 48 (11)
[7] On the geometry of multisymplectic manifolds
Cantrijn, F
Ibort, A
De León, M
[J]. JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES A-PURE MATHEMATICS AND STATISTICS, 1999, 66 : 303 - 330
[8] CARINENA JF, ARXIV09082453
[9] Geometric Hamilton-Jacobi theory
Carinena, Jose F.
Gracia, Xavier
Marmo, Giuseppe
Martinez, Eduardo
Munoz-Lecanda, Miguel C.
Roman-Roy, Narciso
[J]. INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2006, 3 (07) : 1417 - 1458
[10] de Len M., 2009, Variations, Geometry and Physics, P129

← 1 2 3 →