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Volumn 8, Issue 3, 2004, Pages 565-601

Covariant Hamiltonian formalism for the calculus of variations with several variables: Lepage-Dedecker versus de Donder-Weyl

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EID: 79551474926     PISSN: 10950761     EISSN: 10950753     Source Type: Journal    
DOI: 10.4310/ATMP.2004.v8.n3.a5     Document Type: Article
Times cited : (59)

References (21)
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    • On the generalization of symplectic geometry to multiple integrals in the calculus of variations
    • eds. K. Bleuler and A. Reetz, Lect. Notes Maths., Springer-Verlag, Berlin
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    • (1977) Differential Geometrical Methods in Mathematical Physics , vol.570 , pp. 395-456
  • 6
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    • Multivector field formulation of Hamiltonian field theories: Equations and symmetries
    • A. Echeverri{dotless}́a-Enri{dotless}́quez, M. C. Muñoz-Lecanda, N. Román-Roy, Multivector field formulation of Hamiltonian field theories: equations and symmetries, J. Phys. A 32 (1999), no. 48, 8461-8484.
    • (1999) J. Phys. , vol.A 32 , Issue.48 , pp. 8461-8484
    • Echeverría-Enríquez, A.1    Muñoz-Lecanda, M.C.2    Román-Roy, N.3
  • 10
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    • Finite dimensional Hamiltonian formalism for gauge and quantum field theory
    • F. Hélein, J. Kouneiher, Finite dimensional Hamiltonian formalism for gauge and quantum field theory, J. Math. Physics, vol. 43, No. 5 (2002).
    • (2002) J. Math. Physics , Issue.5 , pp. 43
    • Hélein, F.1    Kouneiher, J.2
  • 15
    • 0031993512 scopus 로고    scopus 로고
    • Canonical structure of classical field theory in the polymomentum phase space
    • I. V. Kanatchikov Canonical structure of classical field theory in the polymomentum phase space, Rep. Math. Phys. vol. 41, No. 1 (1998).
    • (1998) Rep. Math. Phys. , vol.41 , Issue.1
    • Kanatchikov, I.V.1
  • 17
    • 0012803525 scopus 로고
    • Sur les champs géodésiques du calcul des variations
    • 1036-1046
    • T. Lepage, Sur les champs géodésiques du calcul des variations, Bull. Acad. Roy. Belg., Cl. Sci. 27 (1936), 716-729, 1036-1046.
    • (1936) Bull. Acad. Roy. Belg., Cl. Sci. , vol.27 , pp. 716-729
    • Lepage, T.1
  • 19
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    • D. van Nostrand Co. Ltd., Toronto, etc., (Revised and augmented reprint, Krieger Publ., New York, 1973).
    • H. Rund, The Hamilton-Jacobi Theory in the Calculus of Variations, D. van Nostrand Co. Ltd., Toronto, etc. 1966 (Revised and augmented reprint, Krieger Publ., New York, 1973).
    • (1966) The Hamilton-Jacobi Theory in the Calculus of Variations
    • Rund, H.1
  • 21
    • 0001376821 scopus 로고
    • Geodesic fields in the calculus of variation for multiple integrals
    • H. Weyl, Geodesic fields in the calculus of variation for multiple integrals, Ann. Math. 6 (1935), 607-629.
    • (1935) Ann. Math. , vol.6 , pp. 607-629
    • Weyl, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.