Classical Electrodynamics without Fields and the Aharonov-Bohm effect
نویسنده
چکیده
The Darwin-Breit Hamiltonian is applied to the Aharonov-Bohm experiment. In agreement with the standard Maxwell-Lorentz theory, the force acting on electrons from infinite solenoids or ferromagnetic rods vanishes. However, the interaction energies and phase factors of the electron wave packets are non-zero. This allows us to explain the Aharonov-Bohm effect without involvement of electromagnetic potentials, fields, and topological properties of space.
منابع مشابه
The effect of radial acceleration on the electric and magnetic fields of circular currents and rotating charges
It is shown that time-independent circular currents and uniformly rotating charge distributions create heretofore unreported constant electric and magnetic fields associated with radial acceleration of the charges forming the circular currents and with radial acceleration of the charges comprising the rotating charge distributions. These fields are computed for several types of rotating charge ...
متن کاملDoes the Aharonov Bohm Effect Exist?
We draw a distinction between the Aharonov Bohm phase shift and the Aharonov Bohm effect. Although the Aharonov Bohm phase shift occurring when an electron beam passes around a magnetic solenoid is well-verified experimentally, it is not clear whether this phase shift occurs because of classical forces or because of a topological effect occurring in the absence of classical forces as claimed by...
متن کاملGravitational Dressing of Aharonov-bohm Amplitudes *
We investigate Aharonov-Bohm scattering in a theory in which charged bosonic matter fields are coupled to topologically massive electrodynamics and topologically massive gravity. We demonstrate that, at one-loop order, the transmuted spins in this theory are related to the ones of ordinary Chern-Simons gauge theory in the same way that the Knizhnik-Polyakov-Zamolodchikov formula relates the Lio...
متن کاملar X iv : 0 71 1 . 04 04 v 1 [ he p - th ] 2 N ov 2 00 7 Generalizations of Nonlinear and Supersymmetric Classical Electrodynamics
We first write down a very general description of nonlinear classical electrodynamics, making use of generalized constitutive equations and constitutive tensors. Our approach includes non-Lagrangian as well as Lagrangian theories, allows for electromagnetic fields in the widest possible variety of media (anisotropic, piroelectric, chiral and ferromagnetic), and accommodates the incorporation of...
متن کاملFeynman’s Relativistic Electrodynamics Paradox and the Aharonov-Bohm Effect
An analysis is done of a relativistic paradox posed in the Feynman Lectures of Physics involving two interacting charges. The physical system presented is compared with similar systems that also lead to relativistic paradoxes. The momentum conservation problem for these systems is presented. The relation between the presented analysis and the ongoing debates on momentum conservation in the Ahar...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2008