A Helmholtzian operator is a linear second order partial differential operator, typically in four independant variables; a generalization of the d'Alembertian operator where it's additional constant vanishes. When the time-independant version (in three independent (space) variables acting on a function or vector vanishes, the resulting equation is called the Helmholtz's equation. In four dimensions this equation is referred to as the Klein-Gordon equation (with imaginary constant).
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