In:
Journal of Mathematical Physics, AIP Publishing, Vol. 45, No. 2 ( 2004-02-01), p. 725-735
Kurzfassung:
By using two different procedures we show that on the space of solutions of a certain class of second-order ordinary differential equations, u″=Λ(s,u,u′), a two-dimensional definite or indefinite metric, gab, can be constructed such that the two-dimensional Hamilton–Jacobi equation, gabu,au,b=1 holds. Furthermore, we show that this structure is invariant under a certain subset of contact transformations (canonical transformations). Two examples are given.
Materialart:
Online-Ressource
ISSN:
0022-2488
,
1089-7658
Sprache:
Englisch
Verlag:
AIP Publishing
Publikationsdatum:
2004
ZDB Id:
1472481-9