From Noncommutative Sphere to Nonrelativistic Spin

Details From Noncommutative Sphere to Nonrelativistic Spin From Noncommutative Sphere to Nonrelativistic Spin

2009-11-13

arxiv.org/abs/0911.2592v3

SIGMA 6 (2010), 016, 8 pages

Physics

High Energy Physics

High Energy Physics - Theory

Scientific paper

10.3842/SIGMA.2010.016

Reparametrization invariant dynamics on a sphere, being parameterized by angular momentum coordinates, represents an example of noncommutative theory. It can be quantized according to Berezin-Marinov prescription, replacing the coordinates by Pauli matrices. Following the scheme, we present two semiclassical models for description of spin without use of Grassman variables. The first model implies Pauli equation upon the canonical quantization. The second model produces nonrelativistic limit of the Dirac equation implying correct value for the electron spin magnetic moment.

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