Role of Average Energy and Plane Waves in the Schrodinger Equation

Francesco R. Ruggeri
2019 Zenodo  
n an earlier note (1), it was argued the time-independent Schrodinger equation may be written in a momentum form by using W(x)=Sum over p fp exp(ipx)= wavefunction and V(x)=Sum over p Vp exp(ipx). This lead to an equation for each plane wave of the form: p*p/2m fp + Sum over j+k=p Vj fk = E fp ((1)). In this note, we try to argue that ((1)) does not need to follow from the time-independent Schrodinger equation, but rather seems to be a consequence of fp, which is related to conditional
more » ... onditional probability P(p/x).
doi:10.5281/zenodo.2678117 fatcat:kvfw3neznvdyzgvi72hh2gvf6m