where,
\(\mathcal{F}\rightarrow\) Fock space
\(\mathcal{H}\rightarrow\) single-particle Hilbert space
\(\mathcal{S}\rightarrow\) operator which symmetrizes or antisymmetrizes a tensor
\(\oplus\rightarrow\) direct sum
\(\otimes n\text{ (exponent)}\rightarrow\) tensor powers
overline/overbar\(\rightarrow\) Hilbert space completion
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