Quantum phases for moving charges and dipoles in an electromagnetic field and fundamental equations of quantum mechanics

We analyze the quantum phase effects for point-like charges and electric (magnetic) dipoles under a natural assumption that the observed phase for a dipole represents the sum of corresponding phases for charges composing this dipole. This way we disclose two novel quantum phases for charged particle...

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Bibliographic Details
Published in:Scientific reports 2018-08, Vol.8 (1), p.11937-7, Article 11937
Main Authors: Kholmetskii, A. L., Yarman, T., Missevitch, O. V., Arik, M.
Format: Article
Language:English
Subjects:
140/125
639/766/483/1139
639/766/483/640
Charged particles
Electromagnetic fields
Humanities and Social Sciences
Mathematical models
multidisciplinary
Science
Science (multidisciplinary)
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Summary:We analyze the quantum phase effects for point-like charges and electric (magnetic) dipoles under a natural assumption that the observed phase for a dipole represents the sum of corresponding phases for charges composing this dipole. This way we disclose two novel quantum phases for charged particles, which we named as complementary electric Aharonov-Bohm (A-B) phase and complementary magnetic A-B phase, respectively. We reveal that these phases are derived from the Schrödinger equation only in the case, where 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 of charged particles. The related alteration should be introduced to Klein-Gordon and Dirac equations, too, and implications of this modification are discussed.
ISSN:2045-2322
2045-2322
DOI:10.1038/s41598-018-30423-8