| Zugriffsnummer | 36461 |
| Dokumenttyp | Buch |
| Peer Review | unbekannt |
| Sprache | Englisch |
| Titel | Ensembles on configuration space: classical, quantum, and beyond |
| Autor(in); Institution |
Hall, Michael J. W.; Griffith University, Center for Quantum Dynamics, Brisbane, AUSTRALIA
Reginatto, Marcel; 6.4, Neutronenstrahlung, PTB-Braunschweig
|
| Quelle/Jahr | 4 (2016), XIV, 280 S. |
| Auflage | 18. Auflage |
| Schriftenreihe | Fundamental theories of physics: 184 |
| ISBN | 978-3-319-34164-4 (PRINT) ; 978-3-319-34166-8 |
| DOI | |
| URL | |
| Verlag | Switzerland: Springer International Publishing |
| Freie Schlagworte | Axiomatic Quantum Mechanics ; Dynamics on Configuration Space ; Quantum Measurement Problem and Decoherence ; Statistical Mechanics on Configuration Space |
| Zusammenfassung | Ensembles on configuration space have wide applicability. They may be used to describe classical, quantum and hybrid classical-quantum systems, physical systems that are deterministic or subject to uncertainty, discrete systems, particles and fields. They also lead to novel reconstructions of quantum theory from physical and geometric axioms. We introduce the basic elements of the theory, discuss a number of classical and quantum examples, and provide an overview of the many generalizations and applications that form the subjects of later chapters. The approach introduces very few physical and mathematical assumptions. The basic building blocks are the configuration space of the physical system, an ensemble of configurations, and dynamics generated from an action principle. An important role is played by the ensemble Hamiltonian which determines the equations of motion. These must satisfy certain requirements which we discuss in detail. We provide examples of classical and quantum systems and show that the primary difference between quantum and classical evolution lies in the choice of the ensemble Hamiltonian. |
