The Liouville Space Extension of Quantum Mechanics
- I. Prigogine3,4,
- Stuart A. Rice5
Published Online: 14 MAR 2007
DOI: 10.1002/9780470141588.ch1
Copyright © 1997 by John Wiley & Sons, Inc.
Book Title
Advances in Chemical Physics: Resonances, Instability, and Irreversibility, Volume 99
Additional Information
How to Cite
Petrosky, T. and Prigogine, I. (2007) The Liouville Space Extension of Quantum Mechanics, in Advances in Chemical Physics: Resonances, Instability, and Irreversibility, Volume 99 (eds I. Prigogine and S. A. Rice), John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/9780470141588.ch1
Editor Information
- 3
Center for Studies in Statistical Mechanics and Complex Systems, The University of Texas, Austin, Texas
- 4
International Solvay Institutes, Université Librey de Bruxells, Brussels, Belgium
- 5
Department of Chemistry and The James Franck Institues, The University of Chicago, Chacago, Illionios
Publication History
- Published Online: 14 MAR 2007
- Published Print: 1 JAN 1996
Book Series:
ISBN Information
Print ISBN: 9780471165262
Online ISBN: 9780470141588
- Summary
- Chapter
- References
Keywords:
- liouvillian formalism;
- singular fourier expansions;
- Lyapounov functions;
- persistent potential scattering;
- correlation flows
Summary
This chapter contains sections titled:
Introduction
Overview
The Liouvillian Formalism
Singular Fourier Expansions and Projection Operators
Complex Spectral Representations
Nonunitary Transformations and Subdynamics
Lyapounov Functions-�� Theorems
Linear and Nonlinear Lippmann-Schwinger Equations
Persistent Potential Scattering
Nonequilibrium Statistical Mechanics and Flow of Correlations
The Thermodynamic Limit
Illustrations
Concluding Remarks