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Uniqueness and Nondynamic Physical Effect of Electromagnetic Potential and the Special Relativity

Shao Jian-jun

Published Jan 1, 2002• 0 citations
OpenAlex

Abstract

Basic physical meaning and uniqueness of electromagnetic potential are verified from classical electrodynamics and the special relativity; Nondynamic Physical effects of electro-magnetic potential are verified from quantum mechanical analyses; The A-B effect and Landau levels are studied.

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Hamilton-Jacobi equation which governs classical mechanics and electrodynamics explicitly depends on the electromagnetic potentials (A,ϕ), similar to Schroedinger equation. We derived the Aharonov-Bohm effect from Hamilton-Jacobi equation thereby having proved that this effect is of classical origin. These facts enable us to arrive at the following conclusions: a) the very idea of special role of potentials (A,ϕ) in quantum mechanics (different from their role in classical physics) lost the ground, and becomes dubious, as this idea is based on the Aharonov-Bohm effect, b) failure to find any signs of a special role of these potentials in the appropriate experiments (Feinberg, 1963) is thereby explained, and c) discovery of classical analogues of the Aharonov-Bohm effect (Berry et al., 1980) is also explained by a classical nature of this effect. Elucidation of the "unlocal" interaction problem was made.
All sorts of elecrtomagnetic Potential are discussed.The range of applications of electric potenlial,magnetic scalar potential,vector potentiol,scalar potential,retarded potential,coulombic potential,electromagnetic potential are analysed,and point out their differences and relations. It is emphasized that retarded potential of kinetic charges is not quited right.The vector potential Ais a kind of physics reality,not only a mathematical method in quantum mechanics.The physics effect of A—AB effect can be obserred and measured.
An explicit physical interpretation of the electromagnetic vector potential is here pointed out—as field momentum available for exchange with kinetic momenta of charged matter. It is shown that the vector potential can be quite as directly measurable, without recourse to only quantum-mechanical effects, as are scalar potential differences and the force fields E, B. This suggests, in keeping with quantum electrodynamics, that the equations for potentials may be regarded as more ’’basic’’ than the Maxwell equations—but only because the potentials most directly represent interaction energy-momenta through which fields and charges become observable.