Understanding time evolution

by Thorsen, Asger S.

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Title Statements

Full title :Understanding time evolution / Asger S. Thorsen.

Summary

"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"--

Edition Statements

Publication Date:2020

Publication Statements

Publisher(s):Nova Science Publishers
Place of Publication:New York
Language:eng
Publication Date:2020

The Physical Object

Description:1 online resource.

Edition Identifiers

ISBN:1536179078, 9781536179071
oclc:on1158508620
LC Classification:QC174.17.D44
Dewey Decimal:530.12/2

Intro -- UNDERSTANDING TIMEEVOLUTION -- UNDERSTANDING TIMEEVOLUTION -- CONTENTS -- PREFACE -- Chapter 1SEMIQUANTUM TIME EVOLUTION:CLASSICAL LIMIT, DISSIPATION ANDQUANTUM MEASUREMENT -- Abstract -- 1. INTRODUCTION -- 2. THE MODEL -- 3. MATTER-FIELD INTERACTION AND CLASSICALLIMIT -- 3.1. Numerical Results -- 3.2. Using Information Quantifiers -- 4. DISSIPATION: A TWO-LEVEL MODEL COUPLEDTO A CLASSICAL ELECTROMAGNETIC FIELD -- 4.1. Fixed Points (FP) -- 4.2. Attractors -- 5. THE MEASUREMENT PROBLEM -- 5.1. An Example of Measurement's Procedure -- CONCLUSION -- ACKNOWLEDGMENTS -- REFERENCES

Chapter 2SEMIQUANTUM TIME EVOLUTION II:DENSITY MATRICES -- Abstract -- 1. INTRODUCTION -- 2. THE SEMIQUANTUM MODEL -- 3. BASIC PROPERTIES OFA MAXENT DENSITY MATRIX -- 4. MAXENT DENSITY MATRIX FOR THESEMIQUANTUM PROBLEM -- 5. CLASSICAL LIMIT: HAMILTONIANAND PREVIOUS RESULTS -- 6. DENSITY MATRIX AND CLASSICAL LIMIT -- 7. RESULTS -- 8. DENSITY MATRIX AND A DISSIPATIVE SYSTEM -- 9. GENERALIZED BLOCH EQUATIONS -- 9.1. The Fixed Points -- 9.2. Expectation Values -- 9.3. Stability Considerations -- 10. LINEARIZATION PROCEDURE -- ACKNOWLEDGMENTS -- CONCLUSION -- REFERENCES

Chapter 3OBJECTIVE AND NONOBJECTI…