(Pre-)Hilbert spaces in twistor quantization

DOI10.1063/1.4813476zbMath1287.81058arXiv1210.0349OpenAlexW1987010007MaRDI QIDQ5407583

Jun-Ichi Note, Shinichi Deguchi

Publication date: 7 April 2014

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.0349

zbMATH Keywords

Hilbert spacestwistor quantizationCartan generatorseigenvalues and eigen functions

Mathematics Subject Classification ID

Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Quantization in field theory; cohomological methods (81T70) Spinor and twistor methods applied to problems in quantum theory (81R25) Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory) (14D21)

Related Items (3)

Fourier transform from momentum space to twistor space ⋮ Canonical formalism and quantization of a massless spinning bosonic particle in four dimensions ⋮ Spinor and twistor formulations of massless particles with rigidity

Cites Work

• On the density of twistor elementary states
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• The central programme of twistor theory
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• Complex manifolds and mathematical physics
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• Twistor Algebra
• Unitary Irreducible Representations of SU(2, 2). I
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