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Derivator
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Hi,
in their book ''Density-Functional Theory of Atoms and Molecules'' Parr and Yang state in Appendix A, Formula (A.33)
If F ist a functional that depends on a parameter \lambda, that is F[f(x,\lambda)] then:
\frac{\partial F}{\partial \lambda} = \int \frac{\delta F}{\delta f(x)} \frac{\partial f(x)}{\partial \lambda} dx
Does anyone know a rigorous proof? (What bothers me a bit is the mixed appearance of the partial derivative \partial and the functional derivative \delta)
in their book ''Density-Functional Theory of Atoms and Molecules'' Parr and Yang state in Appendix A, Formula (A.33)
If F ist a functional that depends on a parameter \lambda, that is F[f(x,\lambda)] then:
\frac{\partial F}{\partial \lambda} = \int \frac{\delta F}{\delta f(x)} \frac{\partial f(x)}{\partial \lambda} dx
Does anyone know a rigorous proof? (What bothers me a bit is the mixed appearance of the partial derivative \partial and the functional derivative \delta)
