A HAMILTON-JACOBI THEORY FOR SINGULAR LAGRANGIAN SYSTEMS IN THE SKINNER AND RUSK SETTING

被引：15
作者：
De Leon, Manuel [1 ]
Martin De Diego, David [1 ]
Vaquero, Miguel [1 ]
机构：
[1] UCM, UC3M, UAM, Inst Ciencias Matemat,CSIC, Madrid 28049, Spain
来源：
INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS | 2012年 / 9卷 / 08期
关键词：
Hamilton-Jacobi theory; presymplectic constraint algorithm; CONSTRAINT ALGORITHM; DYNAMICS;
D O I：
10.1142/S0219887812500740
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We develop a Hamilton-Jacobi theory for singular Lagrangian systems in the Skinner-Rusk formalism. Comparisons with the Hamilton-Jacobi problem in the Lagrangian and Hamiltonian settings are discussed.
引用
收藏
页数：24
相关论文
共 39 条
  • [21] Dispersionless hierarchies, Hamilton-Jacobi theory and twister correspondences
    Guha, P
    Takasaki, K
    JOURNAL OF GEOMETRY AND PHYSICS, 1998, 25 (3-4) : 326 - 340
  • [22] Nonholonomic Hamilton-Jacobi theory via Chaplygin Hamiltonization
    Ohsawa, Tomoki
    Fernandez, Oscar E.
    Bloch, Anthony M.
    Zenkov, Dmitry V.
    JOURNAL OF GEOMETRY AND PHYSICS, 2011, 61 (08) : 1263 - 1291
  • [23] A Discrete Hamilton-Jacobi Theory for Contact Hamiltonian Dynamics
    Esen, Ogul
    Sardon, Cristina
    Zajac, Marcin
    MATHEMATICS, 2024, 12 (15)
  • [24] On the Hamilton-Jacobi method in classical and quantum nonconservative systems
    de Souza Dutra, A.
    Correa, R. A. C.
    Moraes, P. H. R. S.
    PROGRESS OF THEORETICAL AND EXPERIMENTAL PHYSICS, 2016, 2016 (08):
  • [25] HAMILTON-JACOBI THEORY IN k-SYMPLECTIC FIELD THEORIES
    De Leon, M.
    Martin De Diego, D.
    Marrero, J. C.
    Salgado, M.
    Vilarino, S.
    INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2010, 7 (08) : 1491 - 1507
  • [26] Analog of Hamilton-Jacobi theory for the time-evolution operator
    Vogl, Michael
    Laurell, Pontus
    Barr, Aaron D.
    Fiete, Gregory A.
    PHYSICAL REVIEW A, 2019, 100 (01)
  • [27] HAMILTON-JACOBI THEORY IN k-COSYMPLECTIC FIELD THEORIES
    De Leon, Manuel
    Vilarino, Silvia
    INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2014, 11 (01)
  • [28] A systematic study of the Toda lattice in the context of the Hamilton-Jacobi theory
    Bruce, AT
    McLenaghan, RG
    Smirnov, RG
    ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2001, 52 (02): : 171 - 190
  • [29] Hamilton-Jacobi Formulation for Systems in Terms of Riesz's Fractional Derivatives
    Rabei, Eqab M.
    Rawashdeh, Ibrahim M.
    Muslih, Sami
    Baleanu, Dumitru
    INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 2011, 50 (05) : 1569 - 1576
  • [30] Hamilton-Jacobi Wave Theory in Manifestly-Covariant Classical and Quantum Gravity
    Cremaschini, Claudio
    Tessarotto, Massimo
    SYMMETRY-BASEL, 2019, 11 (04):
1234