Legendre transformation and analytical mechanics: A geometric approach

Journal of Mathematical Physics

Volumn 44, Issue 4, 2003, Pages 1709-1722

  Massa, Enrico ^a   Pagani, Enrico ^b   Vignolo, Stefano ^a  

^a UNIVERSITY OF GENOA   (Italy)

^b UNIVERSITY OF TRENTO   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0344088385     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1555684     Document Type: Article

References (13)

1. E. Massa, E. Pagani, and P. Lorenzoni, Transp. Theory Stat. Phys. 29, 69 (2000).
2. E. Massa, S. Vignolo, and D. Bruno, J. Phys. A 35, 6713 (2002).
3. E. Massa and S. Vignolo, "A new geometrical framework for time-dependent Hamiltonian mechanics," Extrada Mathematicae (in print).
4. S. Vignolo, J. Phys. A 33, 5117 (2000).
5. W. M. Tulczyiew, Symp. Math. 15, 247 (1974).
6. W. M. Tulczyjew, C. R. Acad. Sci. URSS 283-A, 15 (1976).
7. W. M. Tulczyjew, C. R. Acad. Sci. URSS 283-A, 675 (1976).
8. W. M. Tulczyjew, Ann. Inst. Henri Poincare, Sect. A 27, 101 (1977).
9. W. M. Tulczyjew, "Geometric foundations of lagrangian mechanics," Proceedings of the I.U.T.A.M.-I.S.I.M.M. Symposium on Modern Developments in Analytical Mechanics, Academy of Sciences of Turin, Turin, June 7-11, 1982 [Atti Acad. Sci. Torino, Suppl. Vol. 117, 255 (1983)].
10. J. Kijowski and W. M. Tulczyjew, A Symplectic Framework for Field Theories, Lecture Notes in Physics, Vol. 107 (Springer, Berlin, 1979).
11. W. M. Tulczyjew and P. Urbanski, "An affine framework for the dynamics of charged particles," La Mécanique Analytique de Lagrange et son Heritage - II [Atti Acad. Sci. Torino, Suppl. 2, Vol. 126, 257 (1992)].
12. S. Benenti, "Symplectic relations in analytical mechanics," Proceedings of the I.U.T.A.M.-I.S.I.M.M. Symposium on Modern Developments in Analytical Mechanics Academy of Sciences of Turin, Turin, June 7-11 1982 [Atti Acad. Sci. Torino, Suppl. Vol. 117, 39 (1983)].
13. S. Benenti, Relazioni Simplettiche (Pitagora Editrice, Bologna, 1988).