The majority is fully convinced of that the hydrogen atom is
quite well described by Schrödinger's wave function. But throughout an existence
of quantum mechanics (QM), the
Three-dimensional distribution of
extremes of Schrödinger's
has never been presented.
Let us turn to the example. Following QM, the density of probability of the presence
of a single electron in the hydrogen atom, at every point and at every instant, is proportional to
. Therefore, at l =
1 and m = 0, extremes of
are in two polar points
s1 and s2, i.e., on the extreme radial
sphere determined by the solutions of the radial equation for the radial
The surface (a) and
corresponding to it two polar extremes s1 and s2
(b) of on the radial
sphere R1(r); p is the proton.
Obviously, transitions of the electron between two points, s1
and s2, separated by the equatorial plane of the zero
probability, are impossible. We arrive at the fact that with the equal
probability the electron can be either in s1 or s2.
It means that the electron (being in the state determined by the quantum numbers
l = 1 and m = 0) "hangs" above the "north" or "south" poles of the
proton surface, forming together with the proton an electric dipole directed
along the polar z-axis, and its orbital (magnetic and mechanical) moments
are equal to zero.
Obviously, such a structure of
the hydrogen atom,
originated from the
QM interpretation, is inconsistent with experiment.
inconsistency is inherent in all other functions with different quantum
numbers l and m.