Uniqueness of Segal quantization for oscillating systems
classification
🧮 math-ph
hep-thmath.MP
keywords
quantizationsegalspacesystemarbitrarycarryingcompletelycomplex
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We show that the Segal quantization of an arbitrary system of decoupled harmonic oscillators is unique in the sense that the one particle Hilbert space is completely determined by the requests of being a naturally complex symplectic space carrying a unitary realization of the dynamical evolution of the considered system.
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