Tuesday, August 26, 2014

Physical meaning of the Jacobian in relation to Dirac delta function


Is there a physical meaning to the equation $$\delta(x-a)=\dfrac{\delta(\xi-\alpha)}{|J|} \, ?$$ In non-rectangular coordinate systems where the transformation is non-singular, what is the implication of dividing the Dirac delta function by the Jacobian of the transformation to the coordinate system?




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