Classical Differences Between DAlembertian & Laplacian Operators

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The discussion highlights the key differences between the D'Alembertian and Laplacian operators in the context of physics. The Laplacian operator is primarily utilized in non-relativistic scenarios and operates in three-dimensional space. In contrast, the D'Alembertian operator extends this concept to four-dimensional spacetime by incorporating a time derivative, making it suitable for relativistic cases. This operator is specifically designed to maintain invariance under Lorentz transformations, which is essential for theories in Minkowski spacetime. Understanding these distinctions is crucial for applying the correct operator in various physical contexts, particularly in electrodynamics and other relativistic frameworks.
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what are the differences between D'Alembertian and Laplacian operator? while reading Electrodynamics by Griffiths I learned that Laplacian operator is used in non-relativistic cases and D'Alembertian operator is used in relativistic cases, But i don't what is the difference between these operators
 
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