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        "quote": "Analogously to the bosonic case, a multi-particle fermionic theory can be constructed using $\\mathcal { F } _ { d } ^ { + }$ , by taking $\\mathcal { V } _ { J } ^ { + } ~ = ~ \\mathcal { H } _ { 1 }$ This is a fermionic version of second quantization, with the multi-particle state space given by quantization of a pseudo-classical dual phase space $V$ of solutions to some wave equation. The formalism automatically implies the [<u class=\"concept-term\" data-concept-reference=\"concepts/quantum-mechanics/pauli-exclusion-principle\" data-concept-identity=\"urn:uuid:aaa0a3c5-6818-4769-b378-186b91122f2b\" data-concept-route=\"/concept-identities#concept-aaa0a3c5-6818-4769-b378-186b91122f2b\" id=\"first-790b798a85aeca00946f-en\">Pauli principle</u>](../../../../../concepts/quantum-mechanics/pauli-exclusion-principle) (no more than one quantum per state) as well as the antisymmetry property for states of multiple fermionic quanta that is a separate postulate in our earlier description of multiple particle states as tensor products.",
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