ISSN:
1572-9036
Schlagwort(e):
Lagrangian
;
Hamiltons principle
;
commutator brackets
Quelle:
Springer Online Journal Archives 1860-2000
Thema:
Mathematik
Notizen:
Abstract The question as to whether a given set of equations, which govern the dynamical evolution of a system, determine a Lagrangian is considered. This problem, which has come to be known as the inverse problem of the calculus of variations, is reviewed and theorems which contain systems of partial differential equations which determine a type of self-adjointness are developed. It is shown that, given a reasonable form for the classical correspondence, the usual quantum commutator brackets can be expressed in terms of classical quantities which satisfy a particular form of these equations.
Materialart:
Digitale Medien
URL:
http://dx.doi.org/10.1023/A:1006271332516
