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D'Alambera operator
19.06.2002 21:03 | "Fizicheskaya Enciklopediya"/Phys.Web.Ru

D'Alambera operator - differencial'nyi operator

$\Box \equiv \Delta -{c}^{-2}({\partial}^{2}/{\partial t}^{2})$ ,

gde $\Delta$ - Laplasa operator, c - postoyannaya. Nazvan po imeni Zh. D'Alambera (J.D'Alembert). Operator D'Alambera nazyvayut takzhe dalambertianom ili volnovym operatorom, t. k. s ego pomosh'yu udobno zapisyvat' volnovoe uravnenie. Rassmatrivayut takzhe obobshennyi operator D'Alambera

$\Box \equiv \displaystyle{\frac{1}{\sqrt{-g}}}\displaystyle{\frac{\partial}{\partial{x}_{\alpha}}}\left(\sqrt{-g}\ {g}^{\alpha\beta}\displaystyle{\frac{\partial}{\partial{x}_{\beta}}}\right)$ ,

gde ${g}^{\alpha\beta}$ - metricheskii tenzor, g - determinant sootvetstvuyushei emu matricy.

Glossarii Astronet.ru

Publikacii s klyuchevymi slovami: matematika - vektornaya algebra Publikacii so slovami: matematika - vektornaya algebra
Sm. takzhe: Matematika trehmernyh mnogoobrazii Matematicheskaya teoriya svyazi D'Alambera uravnenie Variacionnoe ischislenie Chislo pi soderzhit vse - prichem porovnu!

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