"Clebsch-Gordan coefficient" meaning in All languages combined

See Clebsch-Gordan coefficient on Wiktionary

Noun [English]

Forms: Clebsch-Gordan coefficients [plural]
Etymology: Named after the German mathematicians Alfred Clebsch and Paul Gordan, who encountered an equivalent problem in invariant theory. Head templates: {{en-noun|head=Clebsch-Gordan coefficient}} Clebsch-Gordan coefficient (plural Clebsch-Gordan coefficients)
  1. (physics) Any of a class of numbers that arise in angular momentum coupling in quantum mechanics. They appear as the expansion coefficients of total angular momentum eigenstates in an uncoupled tensor product basis. Categories (topical): Physics
    Sense id: en-Clebsch-Gordan_coefficient-en-noun-pnpRreLj Categories (other): English entries with incorrect language header, Pages with 1 entry, Pages with entries Topics: natural-sciences, physical-sciences, physics

Inflected forms

{
  "etymology_text": "Named after the German mathematicians Alfred Clebsch and Paul Gordan, who encountered an equivalent problem in invariant theory.",
  "forms": [
    {
      "form": "Clebsch-Gordan coefficients",
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          "kind": "topical",
          "langcode": "en",
          "name": "Physics",
          "orig": "en:Physics",
          "parents": [
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "Any of a class of numbers that arise in angular momentum coupling in quantum mechanics. They appear as the expansion coefficients of total angular momentum eigenstates in an uncoupled tensor product basis."
      ],
      "id": "en-Clebsch-Gordan_coefficient-en-noun-pnpRreLj",
      "links": [
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          "physics"
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        [
          "angular momentum",
          "angular momentum"
        ],
        [
          "coupling",
          "coupling"
        ],
        [
          "quantum mechanics",
          "quantum mechanics"
        ],
        [
          "expansion",
          "expansion"
        ],
        [
          "coefficient",
          "coefficient"
        ],
        [
          "eigenstate",
          "eigenstate"
        ],
        [
          "uncoupled",
          "uncoupled"
        ],
        [
          "tensor product",
          "tensor product"
        ],
        [
          "basis",
          "basis"
        ]
      ],
      "raw_glosses": [
        "(physics) Any of a class of numbers that arise in angular momentum coupling in quantum mechanics. They appear as the expansion coefficients of total angular momentum eigenstates in an uncoupled tensor product basis."
      ],
      "topics": [
        "natural-sciences",
        "physical-sciences",
        "physics"
      ]
    }
  ],
  "word": "Clebsch-Gordan coefficient"
}
{
  "etymology_text": "Named after the German mathematicians Alfred Clebsch and Paul Gordan, who encountered an equivalent problem in invariant theory.",
  "forms": [
    {
      "form": "Clebsch-Gordan coefficients",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {
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      },
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      "glosses": [
        "Any of a class of numbers that arise in angular momentum coupling in quantum mechanics. They appear as the expansion coefficients of total angular momentum eigenstates in an uncoupled tensor product basis."
      ],
      "links": [
        [
          "physics",
          "physics"
        ],
        [
          "number",
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          "tensor product",
          "tensor product"
        ],
        [
          "basis",
          "basis"
        ]
      ],
      "raw_glosses": [
        "(physics) Any of a class of numbers that arise in angular momentum coupling in quantum mechanics. They appear as the expansion coefficients of total angular momentum eigenstates in an uncoupled tensor product basis."
      ],
      "topics": [
        "natural-sciences",
        "physical-sciences",
        "physics"
      ]
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  "word": "Clebsch-Gordan coefficient"
}

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This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-11-28 from the enwiktionary dump dated 2024-11-21 using wiktextract (65a6e81 and 0dbea76). The data shown on this site has been post-processed and various details (e.g., extra categories) removed, some information disambiguated, and additional data merged from other sources. See the raw data download page for the unprocessed wiktextract data.

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