In special relativity, electromagnetism and wave theory, the d'Alembert operator (represented by a box: ), also called the d'Alembertian or the wave operator, is the Laplace operator of Minkowski space. The operator is named after French mathematician and physicist Jean le Rond d'Alembert. In Minkowski space, in standard coordinates (t, x, y, z), it has the form Here ∇² is the 3-dimensional Laplacian and gμν is the inverse Minkowski metric with , , for . Note that the μ and ν summation indices range from 0 to 3: see Einstein notation. We have assumed units such that the speed of light c = 1. .

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• In special relativity, electromagnetism and wave theory, the d'Alembert operator (represented by a box: ), also called the d'Alembertian or the wave operator, is the Laplace operator of Minkowski space. The operator is named after French mathematician and physicist Jean le Rond d'Alembert. In Minkowski space, in standard coordinates (t, x, y, z), it has the form Here ∇² is the 3-dimensional Laplacian and gμν is the inverse Minkowski metric with , , for . Note that the μ and ν summation indices range from 0 to 3: see Einstein notation. We have assumed units such that the speed of light c = 1. Some authors also use the negative metric signature of (− + + +), with . Lorentz transformations leave the Minkowski metric invariant, so the d'Alembertian yields a Lorentz scalar. The above coordinate expressions remain valid for the standard coordinates in every inertial frame. (en)
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• p/d030080
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• D'Alembert operator
• d'Alembertian
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• dAlembertian
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• In special relativity, electromagnetism and wave theory, the d'Alembert operator (represented by a box: ), also called the d'Alembertian or the wave operator, is the Laplace operator of Minkowski space. The operator is named after French mathematician and physicist Jean le Rond d'Alembert. In Minkowski space, in standard coordinates (t, x, y, z), it has the form Here ∇² is the 3-dimensional Laplacian and gμν is the inverse Minkowski metric with , , for . Note that the μ and ν summation indices range from 0 to 3: see Einstein notation. We have assumed units such that the speed of light c = 1. . (en)
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• D'Alembert operator (en)
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