Quantum phases for moving charges and dipoles in an electromagnetic field and fundamental equations of quantum mechanics
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Date
2018
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Nature Portfolio
Abstract
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 Schrodinger 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.
Description
arik, metin/0000-0001-9512-8581; Yarman, Tolga/0000-0003-3209-2264
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Turkish CoHE Thesis Center URL
Citation
9
WoS Q
Q2
Scopus Q
Q1
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Volume
8