Absence of classical and quantum mixing

1995/09/15 by L. L. Salcedo · 1 voice · 4 citations
Computer Science · Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Quantum Information and Cryptography #Quantum Mechanics and Applications #hep-th #quant-ph

paper · pdf · doi:10.1103/physreva.54.3657

published as Phys.Rev. A54 (1996) 3657-3660 · REVTeX, 4 pages

arxiv created 1995/09/15 · openalex publication_date 1996/10/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

It is shown, under mild assumptions, that classical degrees of freedom dynamically coupled to quantum ones do not inherit their quantum fluctuations. It is further shown that if the assumptions are strengthened by imposing the existence of a canonical structure, only purely classical or purely quantum dynamics is allowed. \textcopyright 1996 The American Physical Society.

Cited by

• Impediments to mixing classical and quantum dynamics
• Inconsistency of quantum--classical dynamics, and what it implies
• A quantum-classical bracket from p -mechanics
• Linear dynamics of quantum-classical hybrids

Discussions

• The situation you're referring to is classical / quantum hybridization. There are no-go theorems pertaining to this: “Inconsistency of linear dynamics and Born’s rule” (2021), Phys. Rev. A 104, 052224 [stackexchange, 0 points]