d'Alembertian operator âpârgar-e d'Alembert Fr.: d'alembertien A second order, → partial differential
operator in space-time, defined as:
𗢰
= ∂2/∂x2 +
∂2/∂y2 +
∂2/∂z2 -
(1/c2)∂2/∂t2, or
𗢰
= ∇2 - (1/c2)(∂2/∂t2),
where ∇2 is the → Laplacian and
c is the → speed of light.
This operator is the square of the → four-dimensional operator See also: → d’Alembert’s principle; → operator. |