| Zugriffsnummer | 54479 |
| Dokumenttyp | Konferenzartikel in Zeitschrift |
| Peer Review | mit Peer Review |
| Sprache | Englisch |
| Titel | Classical and mixed classical-quantum systems from van Hove’s unitary representation of contact transformations |
| Autor(in); Institution |
Bermúdez Manjarres, A.D.; Universidad Distrital Francisco José de Caldas, Bogota, COLOMBIA
Ulbricht, Sebastian; FPM, Fundamentale Physik für Metrologie, PTB-Braunschweig; Technische Universität Braunschweig, Institut für Mathematische Physik, Braunschweig, GERMANY
|
| Quelle/Jahr | Journal of Physics: Conference Series: 3017 (2025), 1 - 10 |
| Artikelnummer | 012037 |
| ISSN | 1742-6588 (print) ; 1742-6596 (online) |
| DOI | |
| Verlag | Bristol: IOP Science |
| Konferenzangaben | 11th International Workshop on Decoherence, Information, Complexity and Entropy, Castiglioncello, 15-20, September, 2024, Italy |
| Zusammenfassung | Descriptions of classical mechanics in Hilbert space go back to the work of Koopman and von Neumann in the 1930s. Decades later, van Hove derived a unitary representation of the group of contact transformations which recently has been used to develop a novel formulation of classical mechanics in Hilbert space. This formulation differs from the Koopman-von Neumann theory in many ways. Classical observables are represented by van Hove operators, which satisfy a commutation algebra isomorphic to the Poisson algebra of functions in phase space. Moreover, these operators are both observables and generators of transformations, which makes it unnecessary to introduce unobservable auxiliary operators as in the Koopman-von Neumann theory. In addition, for consistency with classical mechanics, a constraint must be imposed that fixes the phase of the wavefunction. The approach can be extended to hybrid mixed classicalquantum systems in Hilbert space. The formalism is applied to the measurement of a quantum two-level system (qubit) by a classical apparatus. |
| Kostenfreier Zugang | Open Access Gold |
| Rechteinformation | CC BY 4.0 ; Creative Commons Attribution 4.0 License |
| Themenbereich der Metrologie | Ionisierende Strahlung |
Zitierung
Reginatto, M., Bermúdez Manjarres, A., & Ulbricht, S. (2025). Classical and mixed classical-quantum systems from van Hove’s unitary representation of contact transformations. Journal of Physics: Conference Series, 3017, 1–10. https://doi.org/10.1088/1742-6596/3017/1/012037