Novel Nonlocal Gauge Functions in Electrodynamics and Their Effect on Quantum Mechanical Phases
We point to previously overlooked solutions of the standard gauge transformation equations of Electrodynamics: the generalized gauge functions go beyond the usual Dirac phase factors(spatial or temporal integrals of potentials)and exhibit a new form of nonlocal quantal behavior,with the well-known Relativistic Causality of classical fields affecting directly the phases of quantum mechanical wavefunctions.Because of the new solutions,the phases of wavefunctions in the Schr(o)dinger picture are affected nonlocally by spatially and temporally remote magnetic and electric fields,in specific ways that are briefly demonstrated.The new nonlocalities,apparently overlooked in path-integral approaches,compete with Aharonov-Bohm behaviors and they provide:(i)a correction to a number of erroneous results in the literature(either an uncritical use of Dirac phases that persists since the time of Feynmans work on path integrals,or a sign error that still propagates in the literature and that regards the connection of Aharonov-Bohm phases to semiclassical phases picked up inside nonvanishing fields due to path-deflections by the Lorentz force),(ii)a new interpretation of semiclassical observations and further extensions to delocalized states(a generalized Werner & Brill cancellation),(iii)a natural remedy of earlier paradoxes(such as the van Kampen thought-experiment,as well as Peshkins discussion of the electric Aharonov-Bohm effect that is made causal by the new solutions),and(iv)a new formulation directly applicable to the study of time-dependent slit-experiments and their causal issues.
Konstantinos Moulopoulos
Department of Physics,University of Cyprus,Nicosia 1678,Cyprus
国际会议
Progress in Electromagnetics Research Symposium 2011(2011年电磁学研究新进展学术研讨会)
苏州
英文
1161-1164
2011-09-01（万方平台首次上网日期，不代表论文的发表时间）