The physical interpretation of wave mechanics. I

Abstract

Summarizing and extending the ideas of many authors and also of our own work, we try to show that the wave equation of the one-body problem can be transformed into a system of equations describing the motion of a deformable medium carrying charge and having permanent magnetic polarization. The wave equation and the system of transformed equations are connected by a strict one-to-one correspondence. The transformation which is not uniquely determined from a mathematical point of view can be chosen so that the new variables have directphysical significance. The latter requirement permits consequently a unique choice of the mathematical possibilities.