Description of Pauli Matter as a Continuous Assembly of Small Rotating Bodies

Abstract

The method of Kramers to represent a two-component spinor is revised and developed into a consequent formulation of the quantum mechanical theory of a non-relativistic spinning particle (§4). Furthermore the method is unified with the hydrodynamical representation of the Pauli electron theory established in the previous article, giving the picture of the Pauli field as an assembly of very small rotating bodies (distinct from usual rigid bodies) continuously distributed in space (§3). The formalistic and physical features of these new representations are considered. Also some remarks are given on the characteristics of the former hydrodynamical formulation (§2). Particularly it is pointed out that Planck's constant enters this scheme only as the constant signifying the magnitude of the spin.