Quantum phase effects for electrically charged particles: updated analysis

Abstract

Abstract – We present an updated analysis of the total expression for the Aharonov–Bohm (AB) phase of a charged particle in an electromagnetic field, which we previously obtained through the superposition principle for quantum phases of charges and dipoles (Sci. Rep. 8 (2018) 11937), and here we re-derive it directly in the framework of the general approach, when the source, the electromagnetic field and the charged particle are quantized. The disclosure of the full set of quantum phase effects for a moving charged particle allows an important update of the wave-particle duality concept by generalizing the de Broglie relationship, where the wave vector associated with the particle is proportional to the vector sum of the mechanical and interactional electromagnetic momenta.