1a-M-9 Ahronov-Bohm effect in the presence of magnetic flux and Electrostatic potential

Swarnali Bandopadhyay, Raishma Krishnan, A. M. Jayannavar

А. В. Никулов, Luigi Accardi, Guillaume Adenier +5 more

The Bohm’s quantum potential, introduced in 1952, and the quantum force in superconductor, introduced in 2001, allow to describe non‐local force‐free momentum transfer observed in the Ahronov‐Bohm effects. Comparison of the Ahronov‐Bohm effects in the two‐slit interference experiment and in superconductor ring reveals fundamental difference between the Schrodinger wave function and the wave function describing macroscopic quantum phenomena. The Ginzburg‐Landau wave function describing the superconductivity phenomenon can not collapse and an additional postulate, which was implied first by L.D. Landau, must be used for the description of macroscopic quantum phenomena. It is note that quantum principles and postulates should not be universal till the quantum formalism is only phenomenological theory but no description of an unique reality.

A. Fechner

H. Rubio, J. M. Getino, O. Rojo

Claudio Furtado, Gerson C. Duarte-Filho

The quantum dynamics of a magnetic monopole in the presence of a thin electric flux is investigated. We discuss the dual Aharonov–Bohm effect and we analyze this in the point of view of the duality transformation. We also study a double slit interference experiment for a magnetic monopole in the presence of an electric vector potential. We demonstrate the appearance of Berry's quantum phase in this dynamics. The scattering of a magnetic monopole by a thin electric flux tube is studied, the scattering amplitude and the phase shift are obtained.

A. N. Ageev, A. G. Chirkov

It is shown that either the presence of a magnetic flux in a finite spatial region or jumps in the field strength are necessary to generate a global potential. The problem of detecting the magnetic Aharonov—Bohm effect is discussed.