Bonn 2025 – wissenschaftliches Programm
Bereiche | Tage | Auswahl | Suche | Aktualisierungen | Downloads | Hilfe
A: Fachverband Atomphysik
A 1: Atomic Systems in External Fields I
A 1.5: Vortrag
Montag, 10. März 2025, 12:30–12:45, KlHS Mathe
Novel Hilbert-space approach to mixed classical-quantum systems — •Sebastian Ulbricht1,2, Marcel Reginatto2, and Andrés Darío Bermúdez Manjarres3 — 1Institut für Mathematische Physik, Technische Universit* at Braunschweig, Mendelssohnstraße 3, 38106 Braunschweig, Germany — 2Physikalisch-Technische Bundesanstalt PTB, Bundesallee 100, 38116 Braunschweig, Germany — 3Universidad Distrital Francisco José de Caldas, Cra. 7 No. 40B-53, Bogotá, Colombia
In a mixed classical-quantum system, one part of a physical system is described by quantum theory, while the other part is treated classically. Such hybrid theories are effective to approximate large quantum systems, for instance in the field of quantum many-body calculations or in quantum chemistry. In addition, they can be utilized to investigate whether quantum systems interacting via classical fields, such as classical gravity, can be realized in nature. In this talk, a Hilbert-space formalism for classical particles and its consistent extension to hybrid systems is presented. In our recent publication [1], we show that this novel approach is not equivalent to other approaches to mixed classical-quantum systems, especially regarding quantum systems interacting via a classical mediator. This finding has important implications for the applicability of no-go theorems addressing the issue of whether gravity must be quantized.
[1] A.D. Bermúdez Manjarres, M. Reginatto, and S. Ulbricht, Eur. Phys. J. Plus 139, 780 (2024)
Keywords: Hybrid classical-quantum systems; Hilbert space; Hamiltonian quantum mechanics; Theoretical physics; Quantum gravity