Variaatioperiaate

Variaatioperiaate on tieteessä käytetty periaate, jota sovelletaan variaatiolaskennassa. Periaatteessa etsitään funktiota, joka maksimoi tai minimoi halutun suureen. Esimerkiksi variaatiolaskennalla voidaan selvittää mikä on köyden muoto, joka on kiinnitetty molemmista päistä. Variaatioperiaatteella minimoidaan köyden potentiaali.

Cornelius Lanczosin mukaan jokainen fysiikan laki, joka voidaan johtaa variaatioperiaatteella, kuvaa itseadjungoituvaa operaattoria. Nämä kuvaukset ovat invariantteja hermiittisessä muunnoksessa.

Esimerkkejä

Lähteet
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