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Volumn 29, Issue 1-2, 2000, Pages 69-91

On the gauge structure of classical mechanics

Author keywords

Connections; Gauge theories; Lagrangian dynamics

Indexed keywords


EID: 0034343732     PISSN: 00411450     EISSN: None     Source Type: Journal    
DOI: 10.1080/00411450008205861     Document Type: Article
Times cited : (16)

References (18)
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    • Jet bundle geometry, dynamical connections, and the inverse problem of Lagrangian mechanics
    • E. Massa and E. Pagani, Jet bundle geometry, dynamical connections, and the inverse problem of Lagrangian Mechanics, Ann. Inst. Henri Poincaré, Physique théorique, 61, 17-62 (1994).
    • (1994) Ann. Inst. Henri Poincaré, Physique Théorique , vol.61 , pp. 17-62
    • Massa, E.1    Pagani, E.2
  • 5
    • 36749107317 scopus 로고
    • Lagrangians for spherically symmetric potentials
    • M. Henneaux and L.C. Shepley, Lagrangians for Spherically Symmetric Potentials, J. Math. Phys., 23, 2101-2107 (1982).
    • (1982) J. Math. Phys. , vol.23 , pp. 2101-2107
    • Henneaux, M.1    Shepley, L.C.2
  • 6
    • 0002539494 scopus 로고
    • Equations of motion, commutation relations and ambiguities in the Lagrangian formalism
    • M. Henneaux, Equations of Motion, Commutation Relations and Ambiguities in the Lagrangian Formalism, Ann. Phys., 140, 45-64 (1982).
    • (1982) Ann. Phys. , vol.140 , pp. 45-64
    • Henneaux, M.1
  • 8
  • 9
    • 84972496539 scopus 로고
    • Gauge algebras, curvature and symplectic structure
    • P. Garcia, Gauge algebras, curvature and symplectic structure, J. Differential Geometry, 12, 351-359 (1977).
    • (1977) J. Differential Geometry , vol.12 , pp. 351-359
    • Garcia, P.1
  • 12
    • 0004282301 scopus 로고
    • The Benjamin/Cumming Publishing Company, Reading (Massachusets)
    • R. Abraham and J.E. Marsden, Foundations of Mechanics, The Benjamin/Cumming Publishing Company, Reading (Massachusets) (1978).
    • (1978) Foundations of Mechanics
    • Abraham, R.1    Marsden, J.E.2
  • 15
    • 0003209247 scopus 로고
    • The geometry of jet bundles
    • London Mathematical Society, Cambridge University Press
    • D.J. Saunders, The Geometry of Jet Bundles, London Mathematical Society, Lecture Note Series 142, Cambridge University Press (1989).
    • (1989) Lecture Note Series , vol.142
    • Saunders, D.J.1
  • 16
    • 0000009335 scopus 로고
    • A geometrical version of the helmholtz conditions in time-dependent Lagrangian dynamics
    • M. Crampin, G.E. Prince and G. Thompson, A Geometrical Version of the Helmholtz Conditions in Time-Dependent Lagrangian Dynamics, J. Phys. A: Math. Gen., 17, 1437-1447 (1984).
    • (1984) J. Phys. A: Math. Gen. , vol.17 , pp. 1437-1447
    • Crampin, M.1    Prince, G.E.2    Thompson, G.3
  • 17
    • 0001401314 scopus 로고
    • A new look at second order equations and Lagrangian mechanics
    • W. Sarlet, F. Cantrijn and M. Crampin, A New Look at Second Order Equations and Lagrangian Mechanics, J. Phys. A: Math. Gen., 17, 1999-2009 (1984).
    • (1984) J. Phys. A: Math. Gen. , vol.17 , pp. 1999-2009
    • Sarlet, W.1    Cantrijn, F.2    Crampin, M.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.