Extension of Giacomini's results concerning invariants for one-dimensional time-dependent potentials

Journal of Mathematical Physics

Volumn 37, Issue 11, 1996, Pages 5496-5508

  Bouquet, Serge ^a,c   Lewis, H Ralph ^b  

^a CEA DIF   (France)

^b Dartmouth College   (United States)

^c DIF   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030489009     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.531719     Document Type: Article

References (14)

1. H. Giacomini, J. Phys. A 23, L865 (1990).
2. H. R. Lewis, P. G. L. Leach, S. Bouquet, and M. R. Feix, J. Math. Phys. 33, 591 (1992).
3. E. Noether and M. A. Tavel, Transp. Theory Stat. Phys. 1, 186 (1971).
4. W. Sarlet and F. Cantrijn, SIAM Rev. 23, 467 (1981).
5. E. Noether, Nachrichten Gesell. Wissenschaft. Göttingen (math-phys. Klasse) 2, 235 (1918).
6. P. J. Olver, Applications of Lie Groups to Differential Equations (Springer-Verlag, Berlin, 1986).
7. M. R. Feix, S. Bouquet, and H. R. Lewis, Physica D 28, 80 (1987).
8. J. Goedert and H. R. Lewis, J. Math. Phys. 28, 728 (1987).
9. H. R. Lewis and P. G. L. Leach, J. Math. Phys. 23, 2371 (1982).
10. H. R. Lewis and J. Goedert, J. Math. Phys. 28, 736 (1987).
11. L. G. Pereira and J. Goedert, J. Math. Phys. 33, 2682 (1992).
12. G. M. Murphy, Ordinary Differential Equations and Their Solutions (Van Nostrand, New York, 1960).
13. M. R. Feix, private communication (1992).
14. S. Bouquet and H. R. Lewis, J. Math. Phys. 37, 5509 (1996).