Sp. Efimov, QUANTUM-MECHANICS AS A CONSEQUENCE OF THE DIPOLE INTERACTION, Nuovo cimento della Societa italiana di fisica. B, Relativity, classical and statistical physics, 110(7), 1995, pp. 801-810
The medium from dipoles d with equiprobable directions is considered.
The dipoles are polarized to get a dipole moment along the field beta
E. By supposing that the medium density n is quite strong so that the
dielectric permeability is well more than unity, 4 pi n beta much grea
ter than 1, the average potential energy [- dE] of the dipole in the c
ollective electric field E is calculated. The formula for the energy i
s proportional to the Bohm potential V-q similar to Delta root n/root
n. According to the Madelung transformation, the hydrodynamics equatio
ns are equivalent to the Schrodinger equation. The phase of psi-functi
on in the theory is proportional to the veritable classical action. Th
e electrodynamic sense of the surface stress tenser is found. Self-int
eraction of a quantum charged particle is similar to photon interactio
n. It is shown that a rotating charge has an angular momentum equivale
nt to the spin h/2.