On the classical roots of the Schroedinger equation
COMPUTER MODELLING & NEW TECHNOLOGIES 2014 18(2) 24-26
Department of Geophysics and Planetary Sciences, Tel Aviv University, Tel Aviv, 69978 Israel
In semiclassical approximation Schroedinger equation is known to reduce to classical Hamilton-Jacobi equation. These equations look strikingly similar. An idea that just the Hamilton-Jacobi equation became a prototype of the Schroedinger equation arises. Arguments in favour of this assumption are supplied. Then it is no wonder that Aharonov-Bohm effect was recently derived directly from the classical Hamilton-Jacobi equation (without using Schroedinger equation), and hence, it is, in fact, of classical origin. The electron-field interaction is explained within the framework of classical electrodynamics. Thus, the so-called unlocal interaction becomes unnecessary.