2011/05/31 by Denys I. Bondar, Renán Cabrera, Renan Cabrera +5 · 4 citations
Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Basis (linear algebra) #Classical mechanics #Computer science #Generality #Geometry #Kinematics #Mathematics #Observable #Physics #Quantum #Quantum Mechanics and Applications #Quantum many-body systems #Quantum mechanics #Statistical physics #Theoretical physics #math-ph #math.MP #quant-ph
paper · pdf · doi:10.1103/physrevlett.109.190403
published as Phys. Rev. Lett. 109, 190403 (2012) · 23 pages and 2 figures. Sec. VII B "Phase Space Representation in Curvilinear Coordinates" was corrected
openalex publication_date 2012/11/08 · arxiv created 2013/03/29 · arxiv updated 2013/04/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.