Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2002-10-04
Found.Phys. 34 (2004) 169-182
Physics
High Energy Physics
High Energy Physics - Theory
International Association for Relativistic Dynamics conference, June 2002
Scientific paper
The canonical proper time formulation of relativistic dynamics provides a framework from which one can describe the dynamics of classical and quantum systems using the clock of those very systems. The framework utilizes a canonical transformation on the time variable that is used to describe the dynamics, and does not transform other dynamical variables such as momenta or positions. This means that the time scales of the dynamics are described in terms of the natural local time coordinates, which is the most meaningful parameterization of phenomena such as the approach to equilibrium, or the back reaction of interacting systems. We summarize the formalism of the canonical proper time framework, and provide example calculations of the eigenvalues of the hydrogen atom and near horizon description of a scalar field near a Schwarzschild black hole.
Gill Tepper
Lindesay James
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