Symplectic geometry and second quantization

DOI10.1016/0034-4877(77)90022-2zbMath0355.53016OpenAlexW2093351495MaRDI QIDQ1237279

Jerzy Kijowski

Publication date: 1977

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0034-4877(77)90022-2

Mathematics Subject Classification ID

General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15)

Related Items (19)

Continuum limit of lattice dynamics ⋮ A modification of the projective construction of quantum states for field theories ⋮ Projective limits of state spaces. I: Classical formalism. ⋮ Projective limits of state spaces. II: Quantum formalism ⋮ Projective limits of state spaces. III: Toy-models ⋮ Projective limits of state spaces. IV: Fractal label sets ⋮ Projective loop quantum gravity. I. State space ⋮ Constrained projective quantum states for the degenerate Plebański gravity ⋮ Fusion basis for lattice gauge theory and loop quantum gravity ⋮ Space of quantum states built over metrics of fixed signature ⋮ Space from entanglement: An information-geometric perspective ⋮ Kinematic projective quantum states for loop quantum gravity coupled to tensor fields ⋮ Finite systems of observables in quantum field theory ⋮ Kinematic quantum states for the teleparallel equivalent of general relativity ⋮ Quantum lattice gauge fields and groupoid \(\mathrm{C}^{\ast}\)-algebras ⋮ Projective loop quantum gravity. II. Searching for semi-classical states ⋮ Quantization of diffeomorphism invariant theories of connections with a non-compact structure group -- an example ⋮ Hilbert spaces built over metrics of fixed signature ⋮ The Cauchy data space formulation of classical field theory

Cites Work

• A canonical structure for classical field theories
• Quantization of Nonlinear Systems
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