Hellmann–Feynman theorem
theorem that relates the derivative of the total energy with respect to a parameter, to the expectation value of the derivative of the Hamiltonian with respect to that same parameter
| rdfs:label |
"Hellmann–Feynman theorem"@en
|
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skos:alt |
"Hellmann-Feynman定理"@zh |
| "Hellmann–Feynman定理"@zh | |
| "费曼–海尔曼定理"@zh | |
| schema:description |
"theorem that relates the derivative of the total energy with respect to a parameter, to the expectation value of the derivative of the Hamiltonian with respect to that same parameter"@en
|
|
schema:date |
"2026-08-29T16:58:55+00:00"^^xsd:dateTime |
| schema:version | 2537816453 |
| wikibase:identifiers | 4 |
| wikibase:sitelinks | 14 |
| wikibase:statements | 10 |
| p:P10376 | wd:statement/Q906809-ad6862a3-4f61-45b2-a452-c2e1ea8eeb8f |
| p:P138 | wd:statement/q906809-235672B6-45AD-4D66-A2C6-7B410E72504B |
| wd:statement/q906809-305B071A-71B7-4E81-AF44-07D7B52E72D6 | |
| p:P2534 | wd:statement/Q906809-023f11a7-4133-51fa-6cce-1e785d6dd2c1 |
| p:P31 | wd:statement/Q906809-B49FFABC-6DB7-4828-89BC-653F8B650381 |
| p:P361 | wd:statement/Q906809-DDD4E022-FB7F-4326-9B47-CE8D46409962 |
| p:P6104 | wd:statement/Q906809-2FE368BB-203B-4EBC-8A56-D21C4813AECA |
| p:P6366 | wd:statement/Q906809-628D1E57-2153-4572-9528-A92BFFF28F6F |
| p:P646 | wd:statement/Q906809-D97CDBB8-D101-4B09-9E9B-4BCE37FDA48F |
| p:P8885 | wd:statement/Q906809-3a2410b7-4402-9556-e796-53dd889d3fa8 |
|
p:direct- |
<https:/ |
| wdt:P10376 | "chemistry/hellmann-feynman-theorem" |
| wdt:P138 | Richard Feynman |
| Hans Hellmann | |
| wdt:P2534 | "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">d</mi></mrow><msub><mi>E</mi><mrow data-mjx-texclass="ORD"><mi>λ</mi></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">d</mi></mrow><mi>λ</mi></mrow></mrow></mfrac></mrow><mo stretchy="false">=</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">⟨</mo><msub><mi>ψ</mi><mrow data-mjx-texclass="ORD"><mi>λ</mi></mrow></msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">d</mi></mrow><msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>H</mi><mo>^</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>λ</mi></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">d</mi></mrow><mi>λ</mi></mrow></mrow></mfrac></mrow><mo data-mjx-texclass="CLOSE">|</mo></mrow><msub><mi>ψ</mi><mrow data-mjx-texclass="ORD"><mi>λ</mi></mrow></msub><mo data-mjx-texclass="CLOSE">⟩</mo></mrow></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML |
| wdt:P31 | theorem |
| wdt:P361 | list of theorems |
| wdt:P6104 | WikiProject Mathematics |
| wdt:P6366 | "163386847" |
| wdt:P646 | "/m/06g7dd" |
| wdt:P8885 | "헬만-파인만 정리" |
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