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

No Thumbnail Available

Date

2018

Journal Title

Journal ISSN

Volume Title

Publisher

Nature Portfolio

Research Projects

Organizational Units

Journal Issue

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

Keywords

[No Keyword Available]

Turkish CoHE Thesis Center URL

Citation

9

WoS Q

Q2

Scopus Q

Q1

Source

Volume

8

Issue

Start Page

End Page