See eigenfunction on Wiktionary
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"text": "For many quantum-mechanical problems it is important to investigate the change of eigenvalues and eigenfunctions with the continuous change of one or more parameters. The case in which one knows the eigenvalues and eigenfunctions for two special values of the parameters, and is interested in the region in between is particularly interesting.",
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"A function ϕ such that, for a given linear operator D, Dϕ=λϕ for some scalar λ (called an eigenvalue)."
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"(mathematics) A function ϕ such that, for a given linear operator D, Dϕ=λϕ for some scalar λ (called an eigenvalue)."
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"lang": "Chinese Mandarin",
"roman": "běnzhēng hánshù",
"sense": "function",
"word": "本徵函數 /本征函数"
},
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"word": "ominaisfunktio"
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"text": "For many quantum-mechanical problems it is important to investigate the change of eigenvalues and eigenfunctions with the continuous change of one or more parameters. The case in which one knows the eigenvalues and eigenfunctions for two special values of the parameters, and is interested in the region in between is particularly interesting.",
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"translations": [
{
"code": "cmn",
"lang": "Chinese Mandarin",
"roman": "běnzhēng hánshù",
"sense": "function",
"word": "本徵函數 /本征函数"
},
{
"code": "fi",
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"sense": "function",
"word": "ominaisfunktio"
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{
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"sense": "function",
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"word": "fonction propre"
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{
"code": "de",
"lang": "German",
"sense": "function",
"tags": [
"feminine"
],
"word": "Eigenfunktion"
},
{
"code": "el",
"lang": "Greek",
"roman": "idiosynártisi",
"sense": "function",
"tags": [
"feminine"
],
"word": "ιδιοσυνάρτηση"
},
{
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"sense": "function",
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"word": "eiginfall"
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"word": "autofunzione"
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{
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"roman": "koyū kansū",
"sense": "function",
"word": "固有関数"
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"word": "função própria"
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"sense": "function",
"tags": [
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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 2025-02-26 from the enwiktionary dump dated 2025-02-21 using wiktextract (ce0be54 and f2e72e5). 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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