What is the physical meaning of the Fourier transform expressed at the spectral density? Also, what is the relationship between the Fourier transform and the total energy of an oscillating system? What is the role of a Dirac delta function in the process of such an understanding?
closed as off topic by joriki, Cameron Buie, Noah Snyder, Phira, rschwieb Nov 5 '12 at 13:56
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Here is an answer from someone who is far from an expert: The Fourier transform exposes the weight of different frequencies i.e. basis Vectors. As for the energy of a hydrogen atom the transform will give you the composed energy states of the electrons.