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        "quote": "\n> [!definition] 定义（[<u class=\"concept-term\" data-concept-reference=\"concepts/quantum-mechanics/canonical-anticommutation-relations\" data-concept-identity=\"urn:uuid:89b2c869-2305-4cc2-8424-af0fde56c114\" data-concept-route=\"/concept-identities#concept-89b2c869-2305-4cc2-8424-af0fde56c114\" id=\"first-b34a5089bdb75166b16f-zh\">正则反对易关系(canonical anticommutation relations)</u>](../../../../../concepts/quantum-mechanics/canonical-anticommutation-relations)）\n>\n> 若 $2d$ 个算符 $a_{Fj},a_{Fj}^\\dagger$（$j=1,\\ldots,d$）满足下列关系，就称其满足正则反对易关系（CAR）：\n>\n> $$\n> \\begin{aligned}\n> [a_{Fj},a_{Fk}^\\dagger]_+&=\\delta_{jk}\\mathbf1,\\\\[0.45em]\n> [a_{Fj},a_{Fk}]_+&=0,\\qquad[a_{Fj}^\\dagger,a_{Fk}^\\dagger]_+=0.\n> \\end{aligned}\n> $$\n",
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        "quote": "\n> [!definition] Definition ([<u class=\"concept-term\" data-concept-reference=\"concepts/quantum-mechanics/canonical-anticommutation-relations\" data-concept-identity=\"urn:uuid:89b2c869-2305-4cc2-8424-af0fde56c114\" data-concept-route=\"/concept-identities#concept-89b2c869-2305-4cc2-8424-af0fde56c114\" id=\"first-b34a5089bdb75166b16f-en\">canonical anticommutation relations</u>](../../../../../concepts/quantum-mechanics/canonical-anticommutation-relations))\n>\n> A set of $2d$ operators $a_{Fj},a_{Fj}^\\dagger$, $j=1,\\ldots,d$, satisfies the canonical anticommutation relations (CAR) if\n>\n> $$\n> \\begin{aligned}\n> [a_{Fj},a_{Fk}^\\dagger]_+&=\\delta_{jk}\\mathbf1,\\\\[0.45em]\n> [a_{Fj},a_{Fk}]_+&=0,\\qquad[a_{Fj}^\\dagger,a_{Fk}^\\dagger]_+=0.\n> \\end{aligned}\n> $$\n",
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