{ "schema_version": 1, "kind": "ConceptView", "producer": "concept-view-1", "concept_id": "urn:uuid:a7971b9e-8f7b-49a0-a412-0ae28a65c35b", "labels": { "zh-CN": "自伴线性算符", "en": "self-adjoint linear operator" }, "alternative_labels": [], "scope_note": "", "identity_status": "active", "identity_revision": "aa2b8e6acc97f6c1fbbfc8f91708c48e0faa9f64b48a0c74abdab4cd8e344434", "occurrences": [ { "concept_id": "urn:uuid:a7971b9e-8f7b-49a0-a412-0ae28a65c35b", "book_id": "woit-qtgr", "edition_id": "2025-10-20", "lang": "zh-CN", "route": "books/woit-qtgr/2025-10-20/zh/chapter-01/01-introduction", "anchor": "first-cea3b2fa67351cb42cfb-zh", "chapter": "1", "section": "1.1", "offset": 1960, "range": [ 9290, 9597 ], "source_revision": "93d8e55044b61fa2919fcbf375d4ef9df626933461060fb2a7103ac2b09e3653", "source_category": "translation", "review_status": "unreviewed", "role": "occurrence", "role_basis": { "kind": "explicit-source-uuid-marker" }, "label": "自伴线性算符(self-adjoint linear operator)", "context": { "range": [ 8401, 9715 ], "quote": "在量子力学中，一个系统的态最好被看作另一类数学对象：它是具有[厄米内积(Hermitian inner product)](../chapter-04/04-inner-products#concept-4-complex-inner-product)的[复向量空间(complex vector space)](../chapter-04/01-vector-spaces-and-linear-maps#concept-4-vector-space)中的一个向量；这个复向量空间就是所谓的态空间。这样的态空间有时是一个函数空间，其元素称为波函数。这些波函数也可能像经典场一样满足微分方程；但它们取复值这一点，是其非经典特征之一。量子力学迥异之处在于对可观测量的处理：它们对应于态空间上的[自伴线性算符(self-adjoint linear operator)](../chapter-04/05-adjoint-operators#concept-4-adjoint-operator)。若这些算符彼此不对易，我们对物理规律应如何运作的直觉便会受到冲击，因为无法再同时给相应的可观测量赋予数值。", "quote_sha256": "a85ae5f96c0f8b0dee2a8823ccefbe8cec531535986d8289ece0f59df0ee5756", "environment": null, "excerpt_omitted": false }, "parallel_readings": [ { "route": "books/woit-qtgr/2025-10-20/en/chapter-01/01-introduction", "lang": "en", "source_category": "original_transcription", "basis": "registered-book-edition-section-language-context; 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