On the "special role" of the electromagnetic potentials in quantum mechanics

P. Bocchieri, A. Loinger, Giovanni Siragusa

Marcin Molski

A. I. Ershkovich

Hamilton-Jacobi equation which governs classical mechanics and electrodynamics explicitly depends on the electromagnetic potentials (A,ϕ), similar to Schroedinger equation. We derived the Aharonov-Bohm effect from Hamilton-Jacobi equation thereby having proved that this effect is of classical origin. These facts enable us to arrive at the following conclusions: a) the very idea of special role of potentials (A,ϕ) in quantum mechanics (different from their role in classical physics) lost the ground, and becomes dubious, as this idea is based on the Aharonov-Bohm effect, b) failure to find any signs of a special role of these potentials in the appropriate experiments (Feinberg, 1963) is thereby explained, and c) discovery of classical analogues of the Aharonov-Bohm effect (Berry et al., 1980) is also explained by a classical nature of this effect. Elucidation of the "unlocal" interaction problem was made.

E.L. Feinberg

Shao Jian-jun

Basic physical meaning and uniqueness of electromagnetic potential are verified from classical electrodynamics and the special relativity; Nondynamic Physical effects of electro-magnetic potential are verified from quantum mechanical analyses; The A-B effect and Landau levels are studied.

C. von Westenholz