Quantum versus Classical Mechanics and Integrability Problems

Quantum versus Classical Mechanics and Integrability Problems

towards a unification of approaches and tools

Blaszak, Maciej

Springer Nature Switzerland AG

08/2020

460

Mole

Inglês

9783030183813

15 a 20 dias

724

Descrição não disponível.
Introduction.- Basic Mathematical Tools.- Classical Hamiltonian Mechanics.- Classical Integrable and Separable Hamiltonian Systems.- Classical Separability Theory.- Deformation Theory of Classical Poisson Algebras.- Quantum Hamiltonian Mechanics on Symplectic Manifolds.- Position Representation of Quantum Mechanics over Riemannian Configuration Space.- References.- Index
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deformation quantization;geometric deformation;separability theory;bosonic systems;quantum integrability;Riemannian spaces;Liouville integrable systems;linear tensor algebra;tensor fields;Lie derivative;symplectic manifolds;Hamilton Jacobi theory;Staeckel systems;Classical integrable systems;Quantum integrable systems;Integrable systems;Quantum trajectory