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Muon anomalous magnetic moment; electric field corrections; quantum beams; non-Euclidean geometry; supersymmetry

We discuss a completely quantum mechanical treatment of the measurement of the anomalous magnetic moment of the muon. A beam of muons move in a strong uniform magnetic field and a weak focusing electrostatic field. Errors in the classical beam analysis are exposed. In the Dirac quantum beam analysis, an important role is played by non-commutative muon beam coordinates leading to a discrepancy between the classical and quantum theories. We obtain a quantum limit to the accuracy achievable in BNL type experiments. Some implications of the quantum corrected data analysis for supersymmetry are briefly mentioned.

Y Srivastava¹ A Widom^{1 2}

1. Dipartimento di Fisica & INFN, Universita’ di Perugia, Italy
2. Physics Department, Northeastern University, Boston, MA - 02115, USA

Published

March 2004