# Inverse Vector Operators - Mathematical Physics

Abstract: In different branches of physics, we frequently deal with vector del operator$\vec{ abla}$. This del operator is generally used to find curl ordivergence of a vector function or gradient of a scalar function. In manyimportant cases, we need to know the parent vector whose curl or divergence isknown 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 potentialwhose curl is known. Here,-inverse curl- -inverse divergence- and -inversegradient- operators are defined to solve those problems easily. All operatorsare defined in the orthogonal curvilinear co-ordinate system.

Author: Shaon Sahoo

Source: https://arxiv.org/