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The Dirac Sea for the Non-Separable Hilbert Spaces

Published 5 Aug 2021 in math-ph and math.MP | (2108.02629v2)

Abstract: We give a rigorous construction of the Dirac Sea for the fermionic quantization in the non-separable Hilbert spaces. These CAR-representations depend on the Axiom of Choice, hence are not unique, nevertheless they are unitarily equivalent to the classic Fock representation.

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