The Principles of Newtonian and Quantum Mechanics

DOI10.1142/10307zbMath1358.70001OpenAlexW4240444870MaRDI QIDQ3181077

Maurice A. De Gosson

Publication date: 22 December 2016

Full work available at URL: https://doi.org/10.1142/10307

zbMATH Keywords

generating functionsingularitySchrödinger equationuncertainty principlequantizationphase spacesymplectic mappingwave functionLagrangian manifoldNewtonian mechanicsactionHamiltonian flowPlanck constantvolume-preserving diffeomorphismPoincaré-Cartan formGromov's non-squeezing theoremPoincaré-Cartan integral invariantsBohm's interpretation of quantum mechanicsabstract groupclassical non-relativistic quantum mechanicsmetaplectic representation of symplectic groupmetatronsemi-classical quantum mechanics

Mathematics Subject Classification ID

Research exposition (monographs, survey articles) pertaining to quantum theory (81-02) Research exposition (monographs, survey articles) pertaining to mechanics of particles and systems (70-02)

Related Items (4)

Gromov’s theorem in n-symplectic geometry on LRn ⋮ A generic impulsive controller for Hamiltonian linear time-periodic systems ⋮ The Maslov index in weak symplectic functional analysis ⋮ Quantum Trajectories: Dirac, Moyal and Bohm

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