In one of my lectures, a graph was plotted of the total energy of an electron as a function of r, it's orbital radius. The function representing this curve was differentiated and set to zero to determine what value of r gave the minimum energy corresponding to the energetically favourable state of the electron, that being the Bohr radius.
My question is: this graph plotted was continuous, but I know energy is quantised in a confined system - so what have I missed?
My question is: this graph plotted was continuous, but I know energy is quantised in a confined system - so what have I missed?