Moyal quantization with compact symmetry groups and noncommutative harmonic analysis
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1990Autor
Figueroa González, Héctor
Gracia Bondía, José M.
Várilly Boyle, Joseph C.
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The phase-space approach to quantization of systems whose symmetry group is compact and semisimple is developed from two basic principles: covariance and traciality. This generalizes results and methods already implemented for spin systems [J. C. Várilly and J. M. Gracia-Bondía, Ann. Phys. 190, 107, 1989]. The twisted product of phase-space functions is shown to be the image of group convolution in the context of a novel Fourier theory on the coadjoint orbits.
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10.1063/1.528967Colecciones
- Matemática [232]