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- W2314433974 abstract "Abstract Segal's unitarizing complex structure J is shown, in the Fermi-Dirac case, to be the orthogonal component in the polar decomposition of the real skew adjoint generator of classical dynamics. It is proven that in the Bose-Einstein case, the classical symplectic dynamics cannot be unitarized unless the generator is similar to a real skew adjoint operator. With the classical Hamiltonian strictly positive, J is the pseudo-orthogonal component in the polar decomposition of the generator, using spectral theory in Krein space with indefinite metric. Thus, J can be expressed simply in terms of the projection E (0) onto the subspace of classical solutions with negative frequency. This complements the physicists' experience that conceptual difficulties arise when dynamically invariant separation of positive and negative frequency solutions is impossible." @default.
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- W2314433974 date "1983-04-01" @default.
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- W2314433974 title "Existence theorems for Segal quantization via spectral theory in Krein space" @default.
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- W2314433974 doi "https://doi.org/10.1017/s0334270000003805" @default.
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