论文标题
使用经典电磁理论的Aharonov-Bohm效应的解释
An interpretation for Aharonov-Bohm effect with classical electromagnetic theory
论文作者
论文摘要
磁性aharonov-bohm效应表明，带电的颗粒可能会受到没有任何电场或磁场的区域的矢量电位的影响[1]。实验证实了Aharonov-bohm效应[2-3]，并在许多情况下发现[4-6]。一个常见的解释是基于量子力学的，该力学指出，与电荷相关的波形将由于向量电位而累积相移。但是，尚未达成关于其性质和解释的共识[7-14]。我们在这里提出了一种基于电磁辐射和耦合理论的简单但合理的解释[15]。与脉冲散热器相关的能量分为库仑速度能和辐射能，以及宏观的Schott能量，可构成它们之间的能量交换。所有这些能量都以包括电势在内的术语表示，相互耦合的能量也是如此。即使田地完全消失，也存在着行动的力量。该力使电荷以不同的路径长度以不同的速度穿过磁螺线管，从而导致相移与用量子力学获得的相同。该理论最初旨在为电磁辐射和相互耦合提供解释。它直接源自麦克斯韦理论，没有修改，而仅替换和重组。
The magnetic Aharonov-Bohm effect shows that charged particles may be affected by the vector potential in regions without any electric or magnetic fields [1]. The Aharonov-Bohm effect was experimentally confirmed [2-3] and has been found in many situations [4-6]. A common explanation is based on quantum mechanics, which states that the wavefunctions associated with the charges will accumulate a phase shift due to the vector potential. However, consensus about its nature and interpretation has not been achieved [7-14]. We here propose a simple but reasonable interpretation based on the theory for electromagnetic radiation and couplings [15]. The energy associated with a pulse radiator is divided into a Coulomb-velocity energy and a radiative energy, together with a macroscopic Schott energy accounting for the energy exchange between them. All these energies are expressed with terms including the potentials, so are the mutual coupling energies. There exists a force acting on the moving charges even though the fields completely vanish. This force makes the charges pass through the magnetic solenoid in different velocity with different path length, causing a phase shift the same as that obtained with quantum mechanics. The theory is originally aimed for providing an interpretation for electromagnetic radiation and mutual coupling. It is derived directly from the Maxwell theory with no modification but only substitution and reorganization.
