Understanding Time Evolution

Asger S. Thorsen (Editor)

Series: Physics Research and Technology
BISAC: SCI057000

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Volume 10

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Special issue: Resilience in breaking the cycle of children’s environmental health disparities
Edited by I Leslie Rubin, Robert J Geller, Abby Mutic, Benjamin A Gitterman, Nathan Mutic, Wayne Garfinkel, Claire D Coles, Kurt Martinuzzi, and Joav Merrick

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Understanding Time Evolution first considers that the evolution of quantum operators is canonical with the total Hamiltonian, and that the generator of the temporal evolution of the classical variables is the mean value of this Hamiltonian, evaluated with a purely quantum Density Matrix.

The authors introduce the general MaxEnt Density Matrix for systems where quantum and classical degrees of freedom interact. This methodology can describe the interaction between microscopic and macroscopic degrees of freedom.

Next, the objectivity of the mathematical description of electric charge transport is explored. It is shown that the description of electric charge transport using fractional order derivatives is non objective.

Similarly, the closing study explores the mathematical description of mechanical movement.
(Imprint: Nova)

Preface

Chapter 1. Semiquantum Time Evolution: Classical Limit, Dissipation and Quantum Measurement
(A.M. Kowalski and A. Plastino, Departamento de Fisica-IFLP, FCE, Universidad Nacional de la Plata,
La Plata, Argentina)

Chapter 2. Semiquantum Time Evolution II: Density Matrices
(A. M. Kowalski and A. Plastino, CICPBA and Depto. de Fisica-IFLP, FCE, Universidad Nacional de la Plata,
La Plata, Argentina)

Chapter 3. Objective and Nonobjective Mathematical Description of the Electric Charge Transport
(Agneta M. Balint and Stefan Balint, Department of Physics, West University of Timisoara, Timisoara, Romania)

Chapter 4. Objective and Nonobjective Mathematical Description of the Mechanical Movement of a Material Point, Due to the Use of Different Type of Fractional Order Derivatives
(Agneta M. Balint and Stefan Balint, Department of Physics, West University of Timisoara, Timisoara, Romania)

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