Operational Dynamic Modeling Transcending Quantum and Classical Mechanics
Quantum Physics
2013-04-02 v5 Mathematical Physics
math.MP
Abstract
We introduce a general and systematic theoretical framework for Operational Dynamic Modeling (ODM) by combining a kinematic description of a model with the evolution of the dynamical average values. The kinematics includes the algebra of the observables and their defined averages. The evolution of the average values is drawn in the form of Ehrenfest-like theorems. We show that ODM is capable of encompassing wide ranging dynamics from classical non-relativistic mechanics to quantum field theory. The generality of ODM should provide a basis for formulating novel theories.
Keywords
Cite
@article{arxiv.1105.4014,
title = {Operational Dynamic Modeling Transcending Quantum and Classical Mechanics},
author = {Denys I. Bondar and Renan Cabrera and Robert R. Lompay and Misha Yu. Ivanov and Herschel A. Rabitz},
journal= {arXiv preprint arXiv:1105.4014},
year = {2013}
}
Comments
23 pages and 2 figures. Sec. VII B "Phase Space Representation in Curvilinear Coordinates" was corrected