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- D'Alembert_operator abstract "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 for French mathematician and physicist Jean le Rond d'Alembert. In Minkowski space in standard coordinates (t, x, y, z) it has the form: Here is the 3-dimensional Laplacian and 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 . Some authors also use the negative metric signature of [− + + +] with .Lorentz transformations leave the Minkowski metric invariant, so the d'Alembertian is a Lorentz scalar. The above coordinate expressions remain valid for the standard coordinates in every inertial frame.".
- D'Alembert_operator wikiPageID "293511".
- D'Alembert_operator wikiPageRevisionID "598853023".
- D'Alembert_operator hasPhotoCollection D'Alembert_operator.
- D'Alembert_operator id "p/d030080".
- D'Alembert_operator title "D'Alembert operator".
- D'Alembert_operator title "d'Alembertian".
- D'Alembert_operator urlname "dAlembertian".
- D'Alembert_operator subject Category:Differential_operators.
- D'Alembert_operator subject Category:Hyperbolic_partial_differential_equations.
- D'Alembert_operator type Abstraction100002137.
- D'Alembert_operator type Communication100033020.
- D'Alembert_operator type DifferentialEquation106670521.
- D'Alembert_operator type DifferentialOperators.
- D'Alembert_operator type Equation106669864.
- D'Alembert_operator type Function113783816.
- D'Alembert_operator type HyperbolicPartialDifferentialEquations.
- D'Alembert_operator type MathematicalRelation113783581.
- D'Alembert_operator type MathematicalStatement106732169.
- D'Alembert_operator type Message106598915.
- D'Alembert_operator type Operator113786413.
- D'Alembert_operator type PartialDifferentialEquation106670866.
- D'Alembert_operator type Relation100031921.
- D'Alembert_operator type Statement106722453.
- D'Alembert_operator comment "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 for French mathematician and physicist Jean le Rond d'Alembert. In Minkowski space in standard coordinates (t, x, y, z) it has the form: Here is the 3-dimensional Laplacian and is the inverse Minkowski metric with , , for .".
- D'Alembert_operator label "D'Alembert operator".
- D'Alembert_operator label "D'Alembertiaan".
- D'Alembert_operator label "D'Alembertiano".
- D'Alembert_operator label "D'alembertien".
- D'Alembert_operator label "D’Alembertoperator".
- D'Alembert_operator label "Operador de d'Alembert".
- D'Alembert_operator label "Operator d’Alemberta".
- D'Alembert_operator label "Operatore di d'Alembert".
- D'Alembert_operator label "Оператор Д’Аламбера".
- D'Alembert_operator label "ダランベール演算子".
- D'Alembert_operator label "达朗贝尔算符".
- D'Alembert_operator sameAs D'Alembertův_operátor.
- D'Alembert_operator sameAs D’Alembertoperator.
- D'Alembert_operator sameAs D'Alembertiano.
- D'Alembert_operator sameAs D'alembertien.
- D'Alembert_operator sameAs Operatore_di_d'Alembert.
- D'Alembert_operator sameAs ダランベール演算子.
- D'Alembert_operator sameAs 달랑베르_연산자.
- D'Alembert_operator sameAs D'Alembertiaan.
- D'Alembert_operator sameAs Operator_d’Alemberta.
- D'Alembert_operator sameAs Operador_de_d'Alembert.
- D'Alembert_operator sameAs m.01qx9m.
- D'Alembert_operator sameAs Q911268.
- D'Alembert_operator sameAs Q911268.
- D'Alembert_operator sameAs D'Alembert_operator.
- D'Alembert_operator wasDerivedFrom D'Alembert_operator?oldid=598853023.
- D'Alembert_operator isPrimaryTopicOf D'Alembert_operator.