Hamilton-Jacobi equation

noun

A mathematical formulation of classical mechanics in which the motion of a particle can be represented as a wave.

Meanings

nounHamilton-Jacobi equation (plural Hamilton-Jacobi equations)

plural Hamilton-Jacobi equations

  1. mathematicsA mathematical formulation of classical mechanics in which the motion of a particle can be represented as a wave.

Origin

Named after William Rowan Hamilton and Carl Gustav Jacob Jacobi.

Full word history & related roots →
Cite this entry
APA

Hamilton-Jacobi equation. (n.d.). In WatkinsX Dictionary. Retrieved November 4, 2026, from https://dictionary.watkinsx.com/word/Hamilton-Jacobi%20equation

MLA

“Hamilton-Jacobi equation.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/Hamilton-Jacobi%20equation. Accessed November 4, 2026.

Chicago

WatkinsX Dictionary, s.v. “Hamilton-Jacobi equation,” accessed November 4, 2026, https://dictionary.watkinsx.com/word/Hamilton-Jacobi%20equation.

Source: Hamilton-Jacobi equation on Wiktionary, CC BY-SA 4.0.