Geometric quantization and internal symmetry

DOI10.1007/BF00670396zbMath0438.58018OpenAlexW3021688326MaRDI QIDQ5904434

D. J. R. Lloyd-Evans

Publication date: 1979

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

Full work available at URL: https://doi.org/10.1007/bf00670396

zbMATH Keywords

Hamiltonian structuregeometric quantizationRicci curvature tensorinternal symmetrycomplex and quaternionic phase transformations for an Einstein spacecomplex and quaternionic structures on space-timeholonomy group representationsRainich theory of electromagnetism and neutrinosstring models of hadronstracefree energy-momentum tensorU(1)xSO(1,3) torsional gauge fields

Mathematics Subject Classification ID

Hamilton's equations (70H05) Electromagnetic interaction; quantum electrodynamics (81V10) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) General quantum mechanics and problems of quantization (81S99) Weak interaction in quantum theory (81V15) Geometric quantization (53D50) Connections (general theory) (53C05)

Cites Work

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• Classical Physics as geometry. Gravitation, electromagnetism, unquantized charge, and mass as properties of curved empty space
• Nonlinear realizations of space-time symmetries. Scalar and tensor gravity
• Quantization of Nonlinear Systems
• Topology of Quaternionic Manifolds
• Quantization and unitary representations
• Almost quaternion structures of the second kind and almost tangent structures
• Geometric quantization and internal symmetry

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