  Although electrons and photons produce the same interference patterns in the
two-slit experiments, the description of these patters is markedly different.
This difference was analyzed by Bohm. Later on Sanz and Miret-Artes and others
were able to squeeze the differences to zero. Fortunately, they left some room
for developments presented in this Letter. We noticed that in the absence of
sources the electromagnetic field can be represented by the complex scalar
field. It is demonstrated that the same fields are being used in the non
relativistic Schr\"odinger equation. The connection between the electromagnetic
and Schr\"odinger fields allows to study the topology of zero sets (Chladni
patterns) of Schr\"odinger eigenfunctions. The existence of these patterns is
contingent upon the existence of eigenvalues of multiplicity higher than one.
This is permissible only in Schr\"odinger's version of quantum mechanics.
Presence of multiplicities is making quantum mechanical and topological
entanglements equivalent.
