scientific article

zbMath0989.81051MaRDI QIDQ2763507

Léon van Hove

Publication date: 16 January 2002

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

quadratic polynomialsPoisson bracketscanonical quantizationLie bracketsintegrals of motionirreducible componentsquotient groupgeometrical quantization\(2n+1\) variablesgroup of canonical transformationsinfinite-dimensional continuous group

Mathematics Subject Classification ID

History of mathematics in the 20th century (01A60) History of quantum theory (81-03) Research exposition (monographs, survey articles) pertaining to quantum theory (81-02) Geometry and quantization, symplectic methods (81S10) Geometric quantization (53D50) Canonical transformations in symplectic and contact geometry (53D22) Canonical and symplectic transformations for problems in Hamiltonian and Lagrangian mechanics (70H15)

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Dynamics of mixed quantum–classical spin systems ^* ⋮ Semiclassical theory and the Koopman-van Hove equation ^* ⋮ Koopman wavefunctions and classical–quantum correlation dynamics ⋮ Momentum maps for mixed states in quantum and classical mechanics ⋮ Evolution of hybrid quantum-classical wavefunctions ⋮ Koopman wavefunctions and classical states in hybrid quantum-classical dynamics ⋮ From quantum hydrodynamics to Koopman wavefunctions. I

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