Structure preserving transformations for Newtonian Lie-admissible equations

Journal Article · Sun Apr 01 04:00:00 EST 1979 · Hadronic J.; (United States)

OSTI ID:6519948

Cantrijn, F

Recently, a new formulation of non-conservative mechanics has been presented in terms of Hamilton-admissible equations which constitute a generalization of the conventional Hamilton equations. The algebraic structure entering the Hamilton-admissible description of a non-conservative system is that of a Lie-admissible algebra. The corresponding geometrical treatment is related to the existence of a so-called symplectic-admissible form. The transformation theory for Hamilton-admissible systems is currently investigated. The purpose of this paper is to describe one aspect of this theory by identifying the class of transformations which preserve the structure of Hamilton-admissible equations. Necessary and sufficient conditions are established for a transformation to be structure preserving. Some particular cases are discussed and an example is worked out.

• Research Organization: Rijksuniversiteit, Gent, Belgium
• OSTI ID: 6519948
• Journal Information: Hadronic J.; (United States), Journal Name: Hadronic J.; (United States) Vol. 2:2; ISSN HAJOD
• Country of Publication: United States
• Language: English

Related Subjects

657002* -- Theoretical & Mathematical Physics-- Classical & Quantum Mechanics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
CLASSICAL MECHANICS
DIFFERENTIAL EQUATIONS
EQUATIONS
EQUATIONS OF MOTION
FUNCTIONS
HAMILTONIAN FUNCTION
LIE GROUPS
MECHANICS
PARTIAL DIFFERENTIAL EQUATIONS
SYMMETRY GROUPS
TRANSFORMATIONS