Quantum-classical hybrid dynamics - a summary

Abstract

A summary of a recently proposed description of quantum-classical hybrids is presented, which concerns quantum and classical degrees of freedom of a composite object that interact directly with each other. This is based on notions of classical Hamiltonian mechanics suitably extended to quantum mechanics.

7 pages; summarizing invited talks at 6th International Workshop DICE2012, Castello Pasquini/Castiglioncello (Tuscany), September 17-21, 2012 and at Marcus Wallenberg Symposium "Quantum Theory: Advances and Problems - QTAP", Linnaeus University, Vaxjoe (Sweden) June 10-13, 2013

References in corpus (9)

• Linear dynamics of quantum-classical hybrids
• Consistent classical and quantum mixed dynamics
• Does quantum mechanics tell an atomistic spacetime?
• Statistical ensembles in Hamiltonian formulation of hybrid quantum-classical systems
• Four questions for quantum-classical hybrid theory
• Proliferation of observables and measurement in quantum-classical hybrids
• Interacting classical and quantum particles
• Classical-Quantum Coexistence: a `Free Will' Test
• Nonlocal signaling in the configuration space model of quantum-classical interactions

Cited by in corpus (11)

• Quantum-Classical Hybrid Systems and their Quasifree Transformations
• Novel Effect Induced by Spacetime Curvature in Quantum Hydrodynamics
• Effective nonlinear Ehrenfest hybrid quantum-classical dynamics
• Mirror-induced decoherence in hybrid quantum-classical theory
• Classical-quantum limits
• Classicalization of Quantum Variables and Quantum-Classical Hybrids
• From reasonable postulates to generalised Hamiltonian systems
• Hybrid Koopman C*-formalism and the hybrid quantum-classical master equation
• Classical Dynamics from Self-Consistency Equations in Quantum Mechanics -- Extended Version
• Poisson bracket operator
• An illustration of canonical quantum-classical dynamics