Operational Dynamic Modeling Transcending Quantum and Classical Mechanics

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.

23 pages and 2 figures. Sec. VII B "Phase Space Representation in Curvilinear Coordinates" was corrected

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• Non-classicality of positive relativistic Wigner function
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• Operational Dynamical Modeling of spin 1/2 relativistic particles: the Dirac equation and its classical limit
• Ehrenfest principle and unitary dynamics of quantum-classical systems with general potential interaction
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