Noncanonical Hamiltonian mechanics

Journal Article · Tue Jul 20 00:00:00 EDT 1982 · AIP Conf. Proc.; (United States)

DOI:https://doi.org/10.1063/1.33651· OSTI ID:6766787

Greene, J M

A number of books and papers contain the best formulations of noncanonical Hamiltonian mechanics. Here, instead, the object is to present the essential ideas in their most simple-minded form. The root idea is that quantities are ''real'' if they are independent of the coordinate system used to describe them. In orthodox Hamiltonian mechanics a restricted set of coordinate systems is used and interesting quantities are invariant under the canonical transformations that relate these coordinates. Here more general coordinate system will be used, with a reality condition taken from tensor calculus.

• Research Organization: Plasma Physics Laboratory, Princeton University, Princeton, New Jersey 08544
• OSTI ID: 6766787
• Journal Information: AIP Conf. Proc.; (United States), Journal Name: AIP Conf. Proc.; (United States) Vol. 88:1; ISSN APCPC
• 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
HAMILTON-JACOBI EQUATIONS
HAMILTONIAN FUNCTION
MATRICES
MECHANICS
ORBITS
PARTIAL DIFFERENTIAL EQUATIONS
TENSORS
TRANSFORMATIONS