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d'Alembertian

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d'Alembertian [¦dal·əm¦bər·shən]
(mathematics)
A differential operator in four-dimensional space,which is used in the study of relativistic mechanics.
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k+1] [member of] [sigma]([]) are two consecutive eigenvalues of the D'Alembertian and [sigma]([]) is the spectrum of the D'Alembertian.
Nonresonance conditions for a nonlinear hyperbolic problem by Anane, Aomar; Chakrone, Omar; Zerouali, Abdellah / Advances in Dynamical Systems and Applications
Dirac's master wave equation can be factorized--essentially by taking the square-root of the d'Alembertian operator applied to a Majorana 2-spinor wavefunction--to obtain not only Dirac's famous electron equation (in the common 4-spinor formalism), but also the equations for more exotic spinning particles (including the Proca equation, the Duffin-Kemmer equation for spins 0 and 1, and the Rarita-Schwinger equations for spin 3/2).
The Road to Reality: A Complete Guide to the Laws of the Universe by Flower, Robert G. / Frontier Perspectives
 
 
 
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