Operational dynamic modeling transcending quantum and classical mechanics

Denys I. Bondar; Renan Cabrera; Robert R. Lompay; Misha Yu Ivanov; Herschel A. Rabitz

doi:10.1103/PhysRevLett.109.190403

Operational dynamic modeling transcending quantum and classical mechanics

Denys I. Bondar, Renan Cabrera, Robert R. Lompay, Misha Yu Ivanov, Herschel A. Rabitz

Research output: Contribution to journal › Article › peer-review

67 Scopus citations

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.

Original language	English (US)
Article number	190403
Journal	Physical review letters
Volume	109
Issue number	19
DOIs	https://doi.org/10.1103/PhysRevLett.109.190403
State	Published - Nov 8 2012

All Science Journal Classification (ASJC) codes

General Physics and Astronomy

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10.1103/PhysRevLett.109.190403

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AU - Rabitz, Herschel A.

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AB - 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.

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Operational dynamic modeling transcending quantum and classical mechanics

Abstract

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