Hamiltonian Mechanical Systems and Geometric Quantization [Paperback]

Introduction. Background Notations. 1. Symplectic Geometry. 2. Hamiltonian Mechanics. 3. Lie Groups; Momentum Mappings; Reduction. 4. Hamilton--Poisson Mechanics. 5. Hamiltonian Mechanical Systems and Stability. 6. Geometric Prequantization. 7. Geometric Quantization. 8. Foliated Cohomology and Geometric Quantization. 9. Symplectic Reduction; Geometric Quantization; Constrained Mechanical Systems. 10. Poisson Manifolds and Geometric Prequantization. References. Index.Springer Book Archives