Prequantum bundles and projective Hilbert geometries

DOI10.1007/BF01807306zbMath0393.58003OpenAlexW2076976252MaRDI QIDQ1252549

Christian Günther

Publication date: 1977

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

Full work available at URL: https://doi.org/10.1007/bf01807306

zbMATH Keywords

Contact ManifoldsBanachmanifoldsClassical and Quantum DynamicsPrequantizationPrincipal Circle BundlesProjective Fibration of a Complex Hilbert SpaceSymplectic Curvature

Mathematics Subject Classification ID

Riemannian, Finsler and other geometric structures on infinite-dimensional manifolds (58B20) Infinite-dimensional manifolds (58B99)

Related Items (5)

The structure of classical extensions of quantum probability theory ⋮ Geometry and structure of quantum phase space ⋮ Geometric uncertainty relation for mixed quantum states ⋮ Geometric derivation of quantum uncertainty ⋮ Aspects of the quantum-classical connection based on statistical maps

Cites Work

• Generalized Hamiltonian mechanics. A mathematical exposition of non-smooth dynamical systems and classical Hamiltonian mechanics
• Riemannsche Hilbertmannigfaltigkeiten. Periodische Geodätische. Mit einem Anhang von H. Karcher
• Quantization and unitary representations
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