Yarman, Nuh TolgaKholmetskii, A. L.Yarman, T.Missevitch, O. V.Arik, M.Enerji Sistemleri Mühendisliği / Energy Systems Engineering2024-05-252024-05-25201892045-232210.1038/s41598-018-30423-82-s2.0-85051551902https://doi.org/10.1038/s41598-018-30423-8https://hdl.handle.net/20.500.14517/431arik, metin/0000-0001-9512-8581; Yarman, Tolga/0000-0003-3209-2264We 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.eninfo:eu-repo/semantics/openAccess[No Keyword Available]ArticleQ2Q18WOS:00044115980004330093690