Inverse Vector Operators

Details Inverse Vector Operators Inverse Vector Operators

2008-04-14

arxiv.org/abs/0804.2239v3

Physics

Mathematical Physics

8 pages; rewritten with more clarity

Scientific paper

In different branches of physics, we frequently deal with vector del operator ($\vec{\nabla}$). This del operator is generally used to find curl or divergence of a vector function or gradient of a scalar function. In many important cases, we need to know the parent vector whose curl or divergence is known or require to find the parent scalar function whose gradient is known. But the task is not very easy, especially in case of finding vector potential whose curl is known. Here,'inverse curl', 'inverse divergence' and 'inverse gradient' operators are defined to solve those problems easily. All operators are defined in the orthogonal curvilinear co-ordinate system.

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