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You are familiar with the operations of gradient (∇ϕ), divergence (∇·V) and curl (∇×V) in ordinary vector analysis ia three-dimensional Euclidean space, Using covariant derivatives, derive formulae for these operations in spherical polar coordinates (r, 6, ϕ) defined by x=r sinθcosϕ y=r sinθsinϕ z=r cosθ Conpare your results to those in Jackson (1999) or an equivalent text. Are they identical? Should they be? | Numerade
You are familiar with the operations of gradient (∇ϕ), divergence (∇·V) and curl (∇×V) in ordinary vector analysis ia three-dimensional Euclidean space, Using covariant derivatives, derive formulae for these operations in spherical polar coordinates (r, 6, ϕ) defined by x=r sinθcosϕ y=r sinθsinϕ z=r cosθ Conpare your results to those in Jackson (1999) or an equivalent text. Are they identical? Should they be? | Numerade
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