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duc
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Homework Statement
Find the action of the operator ## e^{\vec{a} . \vec{\nabla}} \big( f(\theta,\phi) . g(r) \big) ## where [itex]\nabla[/itex] is the gradient operator given in spherical coordinates, f and g are respectively scalar functions of the angular part ## ( \theta, \phi) ## and the radial part ## ( r = |\vec{r}| ) ##. ## \vec a ## is a constant vector.
Homework Equations
Is there any textbook which gives an explicit formula for such expression, if anyone knows, please tell me.
Thanks very much!
duc