Quantum phases for point-like charged particles and for electrically neutral dipoles in an electromagnetic field

We point out that the known quantum phases for an electric/magnetic dipole moving in an electromagnetic (EM) field must be presented as the superposition of more fundamental quantum phases emerging for elementary charges. Using this idea, we find two new fundamental quantum phases for point-like cha...

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Bibliographic Details
Published in:Annals of physics 2018-05, Vol.392, p.49-62
Main Authors: Kholmetskii, A.L., Missevitch, O.V., Yarman, T.
Format: Article
Language:English
Subjects:
AHARONOV-BOHM EFFECT
Canonical momentum
CHARGED PARTICLES
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
Dipoles
ELECTROMAGNETIC FIELDS
EQUATIONS
MAGNETIC DIPOLES
QUANTUM MECHANICS
Quantum phases
SCHROEDINGER EQUATION
Schrödinger equation
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Summary:We point out that the known quantum phases for an electric/magnetic dipole moving in an electromagnetic (EM) field must be presented as the superposition of more fundamental quantum phases emerging for elementary charges. Using this idea, we find two new fundamental quantum phases for point-like charges, next to the known electric and magnetic Aharonov–Bohm (A–B) phases, named by us as the complementary electric and magnetic phases, correspondingly. We further demonstrate that these new phases can indeed be derived via the Schrödinger equation for a particle in an EM field, where however the operator of momentum is re-defined via the replacement of the canonical momentum of particle by the sum of its mechanical momentum and interactional field momentum for a system “charged particle and a macroscopic source of EM field”. The implications of the obtained results are discussed.
ISSN:0003-4916
1096-035X
DOI:10.1016/j.aop.2018.03.005