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Physical Review Letters

Spin-½ System Without Intrinsic Magnetic Moment

Shau-Jin Chang

Published Oct 17, 1966• 1 citation
Publisher
DOI
10.1103/physrevlett.17.894

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It is shown that the Hilbert space of spin 12 particles, elementary under the Galilei group, decomposes into two subspaces invariant under the “static” Galilei group. This fact implies a linearization of the Schrödinger equation and suggests a square-root procedure to introduce electromagnetic interactions leading to the right expression for the intrinsic magnetic moment of the particle without using relativity. The procedure can be used to introduce the electron intrinsic magnetic moment in a more convincing way than is usual in textbooks.