Evolution of hybrid quantum-classical wavefunctions

DOI10.1016/j.physd.2022.133450OpenAlexW4285603096WikidataQ114141880 ScholiaQ114141880MaRDI QIDQ2083708

Cesare Tronci, François Gay-Balmaz

Publication date: 11 October 2022

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2112.12144

zbMATH Keywords

Hamiltonian systemsmixed quantum-classical dynamicsgauge theoriesgeometric mechanicsexact factorizationKoopman wavefunctions

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Factorization theory (including Wiener-Hopf and spectral factorizations) of linear operators (47A68) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Covariant wave equations in quantum theory, relativistic quantum mechanics (81R20) Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory (81Q70) Quantum state spaces, operational and probabilistic concepts (81P16)

Related Items (4)

Dynamics of mixed quantum–classical spin systems ^* ⋮ Hybrid quantum-classical dynamics of pure-dephasing systems ^* ⋮ Madelung transform and variational asymptotics in Born-Oppenheimer molecular dynamics ⋮ Lagrangian trajectories and closure models in mixed quantum-classical dynamics

Cites Work

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• Ensembles on configuration space. Classical, quantum, and beyond
• Unitary representation of the Poincaré group for classical relativistic dynamics
• A deterministic solver for a hybrid quantum-classical transport model in nanoMOSFETs
• Quantification géométrique.
• Geometry of the time-dependent variational principle in quantum mechanics
• On the generators of quantum dynamical semigroups
• The Euler-Poincaré equations and semidirect products with applications to continuum theories
• From quantum hydrodynamics to Koopman wavefunctions. I
• From quantum hydrodynamics to Koopman wavefunctions. II
• Energy non-conservation in quantum mechanics
• Momentum maps for mixed states in quantum and classical mechanics
• Geometry of nonadiabatic quantum hydrodynamics
• Inconsistency of quantum-classical dynamics, and what it implies
• Prequantum chaos: resonsances of the prequantum cat map
• Nonlinear stability of fluid and plasma equilibria
• Dynamics of Interacting Classical and Quantum Systems
• Geometry and symmetry of quantum and classical-quantum variational principles
• On the notion of phase in mechanics
• Hamiltonian Systems and Transformation in Hilbert Space
• Coupling Classical and Quantum Variables using Continuous Quantum Measurement Theory
• Phase-space methods for the spin dynamics in condensed matter systems
• An Efficient Time-splitting Method for the Ehrenfest Dynamics
• Canonical description of cosmological backreaction
• The bohmion method in nonadiabatic quantum hydrodynamics
• Madelung transform and probability densities in hybrid quantum–classical dynamics
• Koopman wavefunctions and classical–quantum correlation dynamics
• Quantization and unitary representations
• Can Quantum-Mechanical Description of Physical Reality be Considered Complete?
• Forces in Molecules
• Geometric view on noneikonal waves

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