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Zbl 0965.81030
Karpio, Andrzej
Hilbert spaces for massless particles with nonvanishing helicities. (English)
[J] Ann. Inst. Henri Poincaré, Phys. Théor. 70, No.3, 295-311 (1999). ISSN 0246-0211

Summary: The paper contains a complete description of the phase spaces for massless particles with different helicities. Explicit formulae for reproducing kernels for investigated Hilbert spaces are given. The author demonstrates a full symmetry between scalar products and reproducing kernels which are strictly related to the twistor propagator.
MSC 2000:
*81R25 Spinor and twistor methods in quantum theory
46N50 Appl. of functional analysis in quantum physics
22E70 Appl. of Lie groups to physics
32L25 Twistor theory, etc. (analytic spaces)

Keywords: twistors; phase spaces for massless particles; different helicities; reproducing kernels; Hilbert spaces

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