d'Alembert operatorとは 意味・読み方・使い方

名詞

d'Alembert operator (複数形 d'Alembert operators)

1. (physics) A differential operator which may be expressed as ${\displaystyle \partial _{\mu }\partial ^{\mu }=\sum _{\mu =0}^{3}{\partial \over \partial x^{\mu }}{\partial \over \partial x_{\mu }}}$; it is the four-dimensional (Minkowski space) equivalent of the three-dimensional Laplace operator.

使用する際の注意点

• It may be denoted as ${\displaystyle \Box ^{2}}$ (in analogy with the ${\displaystyle \nabla ^{2}}$ symbol for the Laplacian) or as ${\displaystyle \Box }$ (in analogy with the ${\displaystyle \Delta }$ symbol for the Laplacian).
• It may also be denoted as ${\displaystyle \partial ^{2}}$.

同意語

• box operator
• d'Alembertian
• quabla operator
• wave operator

参照

• Robert D. Klauber (2013) Student Friendly Quantum Field Theory, Second edition, Fairfield, Iowa: Sandtrove Press, published 2018, →ISBN, →OCLC, §3.2.3, page 49