The Liouville Space Extension of Quantum Mechanics

1996/01/01 by T. Petrosky, Ilya Prigogine · 4 citations
Mathematics · Physics and Astronomy · #Classical mechanics #Cold Atom Physics and Bose-Einstein Condensates #Computer science #Extension (predicate logic) #Mathematical physics #Mathematics #Physics #Quantum #Quantum Mechanics and Applications #Quantum chaos and dynamical systems #Quantum mechanics #Quantum statistical mechanics #Space (punctuation) #Supersymmetric quantum mechanics #Theoretical physics

paper · doi:10.1002/9780470141588.ch1

openalex publication_date 1996/01/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/26

Abstract

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.

Citations

• Gamow vectors and decaying states

Cited by

• Thermal symmetry of the Markovian master equation
• Irreversible evolution of a charged spin particle analyzed on the basis of subdynamics theory
• A Philosophical Approach to Quantum Field Theory
• Ilya Prigogine [wikipedia]