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Average Force on the Wavefunction Versus Force on Plane Wave Constituents

2019
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Zenodo
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The Schrodinger equation for a bound state includes the classical potential V(r) for which –d/dxj V represents Fj or force in the j direction. It has been argued in a previous note (1), that one may attribute physical meaning to the Fourier series of V(r). In such a case, V(r) and W(r) (the wavefunction) are quantities averaged over momentum (or vectors) as well as being averages over time. One may write the product of V(r)W(r) as one of two Fourier series and then reorganize into a series with

doi:10.5281/zenodo.3552057
fatcat:dd44vhtg3nhmtcsxs6do5pofse