d'Alembert operator

noun

A differential operator which may be expressed as ∂_μ∂^μ=∑_(μ=0)³∂/∂x^μ∂/∂x_μ; it is the four-dimensional (Minkowski space) equivalent of the three-dimensional Laplace operator.

Meanings

nound'Alembert operator (plural d'Alembert operators)

plural d'Alembert operators

  1. natural sciencesA differential operator which may be expressed as ∂_μ∂^μ=∑_(μ=0)³∂/∂x^μ∂/∂x_μ; it is the four-dimensional (Minkowski space) equivalent of the three-dimensional Laplace operator.

    Synonyms: box operator, d'Alembertian, quabla operator, wave operator

Synonyms & antonyms

nounA differential operator which may be expressed as ∂_μ∂^μ=∑_(μ=0)³∂/∂x^μ∂/∂x_μ; it is the four-dimensional (Minkowski space) equivalent of the three-dimensional Laplace operator.

Origin

Named after Jean le Rond d'Alembert (1717–1783), a French mathematician, mechanician, physicist, philosopher, and music theorist.

Full word history & related roots →
Cite this entry
APA

d'Alembert operator. (n.d.). In WatkinsX Dictionary. Retrieved November 4, 2026, from https://dictionary.watkinsx.com/word/d'Alembert%20operator

MLA

“d'Alembert operator.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/d'Alembert%20operator. Accessed November 4, 2026.

Chicago

WatkinsX Dictionary, s.v. “d'Alembert operator,” accessed November 4, 2026, https://dictionary.watkinsx.com/word/d'Alembert%20operator.

Source: d'Alembert operator on Wiktionary, CC BY-SA 4.0.