The Canonical Theory of Motion of a Charged Particle in a Slowly Varying Electromagnetic Field (open access)

The Canonical Theory of Motion of a Charged Particle in a Slowly Varying Electromagnetic Field

"The canonical theory of motion of a charged particle in a slowly varying, static electromagnetic field is formulated. The Hamiltonian is written down explicitly in terms of the coordinates of the gyration and the drift. The method of approach is analogous to that of the canonical formalism with subsidiary condition as used in theories of collective motion in many-body systems, such as the motion of the center of gravity. In the lowest order of the perturbation, it is shown that the Hamiltonian for the drift motion averaged over the gyration phase is given by adding to the original Hamiltonian a potential term equal to the product of the magnetic moment and the magnetic field strength."
Date: June 15, 1961
Creator: Taniuti, Tosiya
System: The UNT Digital Library