ON KOOPMAN–VON NEUMANN WAVES

DOI10.1142/S0217751X02009680zbMath1012.81003arXivquant-ph/0105112OpenAlexW4254857087WikidataQ56562107 ScholiaQ56562107MaRDI QIDQ4547529

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Publication date: 5 June 2003

Published in: International Journal of Modern Physics A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/quant-ph/0105112

zbMATH Keywords

quantum mechanicscomplex numbersclassical mechanics

Mathematics Subject Classification ID

General and philosophical questions in quantum theory (81P05) Quantum measurement theory, state operations, state preparations (81P15)

Related Items (17)

A transfer operator approach to relativistic quantum wavefunction ^* ⋮ Unitary representation of the Poincaré group for classical relativistic dynamics ⋮ From Koopman-von Neumann theory to quantum theory ⋮ Classical dynamics from a unitary representation of the Galilei group ⋮ A new quantization map ⋮ Eisenhart lift of Koopman-von Neumann mechanics ⋮ Coadjoint orbits, spin and dequantization ⋮ Free fall in KvN mechanics and Einstein's principle of equivalence ⋮ Madelung transform and probability densities in hybrid quantum–classical dynamics ⋮ Koopman wavefunctions and classical–quantum correlation dynamics ⋮ Koopman's approach to dissipation ⋮ Minimal coupling in Koopman-von Neumann theory ⋮ CARTAN CALCULUS VIA PAULI MATRICES ⋮ ON KOOPMAN–VON NEUMANN WAVES II ⋮ Quantum dynamics of the classical harmonic oscillator ⋮ Operational classical mechanics: holonomic systems ⋮ Dynamics of the τ-Wigner distribution function

Cites Work

• Quantization and time
• Zur Operatorenmethode in der klassischen Mechanik
• Hamiltonian Systems and Transformation in Hilbert Space
• On the Quantum Correction For Thermodynamic Equilibrium

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