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A unitary linear operator which resolves a function on $\mathbb{R}^N$ into a linear superposition of "plane wave functions". Most often used in physics for calculating the response of a time shift invariant linear system as the sum of its response to time harmonic excitation or for transforming a quantum state in position co-ordinates into one in momentum co-ordinates and contrawise. There is also a discrete, fast Fourier transform for discretised data.

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Electron state in the momentum space of Hydrogen Atom

I am trying to compute the $\Psi(\vec{p})$ for an electron in the ground state of an Hydrogen atom, H(1s) in order to compare the Bohr model with the results of 1982 Weigold et al. I have found that …
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