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- W1888399526 abstract "We prove that there does not exist a nontrivial quantization of the Poisson algebra of the symplectic manifold $S^2$ which is irreducible on the su(2) subalgebra generated by the components ${S_1,S_2,S_3}$ of the spin vector. In fact there does not exist such a quantization of the Poisson subalgebra $mathcal {P}$ consisting of polynomials in ${S_1,S_2,S_3}$. Furthermore, we show that the maximal Poisson subalgebra of $mathcal {P}$ containing ${1,S_1,S_2,S_3}$ that can be so quantized is just that generated by ${1,S_1,S_2,S_3}$." @default.
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- W1888399526 date "1996-01-01" @default.
- W1888399526 modified "2023-09-24" @default.
- W1888399526 title "A Groenewold-Van Hove Theorem for $S^2$" @default.
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- W1888399526 doi "https://doi.org/10.1090/s0002-9947-96-01559-0" @default.
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