Relativistic Hamiltonian Dynamics: Electron Scattering Off a Spin Zero, Three Component Target Body in the Instant Form
Johnny H. Ireland
Dr. Peter Rolnick (Retired), Faculty Mentor

Relativistic Hamiltonian dynamics (RHD) is a form of relativistic quantum mechanics. The energy range that is used in RHD is between that of quantum field theory (high energy) and non-relativistic quantum mechanics (low-energy). The foundation for RHD was laid by Dirac in 1949; he suggested 3 different ways to divide the 10 Poincare operators into kinematic and dynamic subgroups: the point, instant, and front forms. We used RHD to find the charge form-factor for electron scattering off a spin-zero target consisting of 3 spin-zero constituents using a simple one-body current in the instant form. Though spin-zero constituents and spin-zero targets are not realistic, our purpose is to compare one-body current calculations for the different forms. This is part of a larger project in which calculations will also be done in the point and front forms for a 3-body target, and the results using the three forms compared.

Keywords: relativistic quantum mechanics, Dirac, instant form, 3 body problem

Topic(s):Physics

Presentation Type: Oral Paper

Session: TBA
Location: TBA
Time: TBA