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Operational Dynamic Modeling Transcending Quantum and Classical Mechanics

Author(s): Bondar, Denys I.; Cabrera, Renan; Lompay, Robert R.; Ivanov, Misha Yu; Rabitz, Herschel A.

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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.
Publication Date: 8-Nov-2012
Citation: Bondar, Denys I., Cabrera, Renan, Lompay, Robert R., Ivanov, Misha Yu, Rabitz, Herschel A. (2012). Operational Dynamic Modeling Transcending Quantum and Classical Mechanics. PHYSICAL REVIEW LETTERS, 109 (10.1103/PhysRevLett.109.190403
DOI: doi:10.1103/PhysRevLett.109.190403
ISSN: 0031-9007
Pages: 190403-1 - 190403-5
Type of Material: Journal Article
Journal/Proceeding Title: PHYSICAL REVIEW LETTERS
Version: Final published version. Article is made available in OAR by the publisher's permission or policy.

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