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        "quote": "这些算符满足下列[<u class=\"concept-term\" data-concept-reference=\"concepts/quantum-mechanics/canonical-commutation-relations\" data-concept-identity=\"urn:uuid:3547e89d-df9b-4a7a-9f78-22fe3f20a50b\" data-concept-route=\"/concept-identities#concept-3547e89d-df9b-4a7a-9f78-22fe3f20a50b\" id=\"first-f2557acc058ab1a8ecb7-zh\">正则对易关系(canonical commutation relations)</u>](../../../../../concepts/quantum-mechanics/canonical-commutation-relations)：\n<span id=\"first-6144a9fc41e0815045ad-zh\" class=\"block-anchor\"></span>",
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        "quote": "\n> [!definition] Definition ([<u class=\"concept-term\" data-concept-reference=\"concepts/quantum-mechanics/canonical-commutation-relations\" data-concept-identity=\"urn:uuid:3547e89d-df9b-4a7a-9f78-22fe3f20a50b\" data-concept-route=\"/concept-identities#concept-3547e89d-df9b-4a7a-9f78-22fe3f20a50b\" id=\"first-f2557acc058ab1a8ecb7-en\">Canonical commutation relations</u>](../../../../../concepts/quantum-mechanics/canonical-commutation-relations))\n>\n> The canonical commutation relations, often abbreviated CCR, are\n> $$\n> [a_j,a_k^\\dagger]=\\delta_{jk}\\mathbf 1,\\qquad [a_j,a_k]=[a_j^\\dagger,a_k^\\dagger]=0.\n> $$\n",
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