# Operational dynamic modeling transcending quantum and classical mechanics.

@article{Bondar2011OperationalDM, title={Operational dynamic modeling transcending quantum and classical mechanics.}, author={Denys I. Bondar and Renan Cabrera and Robert R. Lompay and Misha Ivanov and Herschel A. Rabitz}, journal={Physical review letters}, year={2011}, volume={109 19}, pages={ 190403 } }

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…

## 58 Citations

### Operational dynamical modeling of spin 1/2 relativistic particles

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The formalism of Operational Dynamical Modeling [Bondar et al., Phys. Rev. Lett. 109, 190403 (2012)] is employed to analyze dynamics of spin half relativistic particles. We arrive at the Dirac…

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### Motion in Quantum-Classical Transition via ODM

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Motion in Quantum-Classical Transition via ODM GAO Wei-chen Abstract: In this paper, we firstly re-present the results of Bondar et al. (2013). Then, following the approach taken in it, we use the…

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We deal with the reversible dynamics of coupled quantum and classical systems. Based on a recent proposal by the authors, we exploit the theory of hybrid quantum–classical wavefunctions to devise a…

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