Frequency shifts and relaxation rates for spin 1/2 particles moving in electromagnetic fields

Abstract

We discuss the behaviour of the Larmor frequency shift and the longitudinal relaxation rate due to non-uniform electromagnetic fields on an assembly of spin 1/2 particles, in adiabatic and nonadiabatic regimes. We also show some general relations between the various frequency shifts and between the frequency shifts and relaxation rates. The remarkable feature of all our results is that they were obtained without any specific assumptions on the explicit form of the correlation functions of the fields. Hence, we expect that our results are valid both for diffusive and ballistic regime of motion and arbitrary cell shapes and surface scattering. These results can then be applied to a wide variety of realistic systems.

References in corpus (4)

• Search for the electron electric dipole moment using $\Omega$-doublet levels in PbO${}^{\ast }$
• Measurement of a false electric dipole moment signal from ${}^{199}$Hg atoms exposed to an inhomogeneous magnetic field
• Universality of spin-relaxation for spin 1/2 particles diffusing over magnetic field inhomogeneities in the adiabatic regime
• Motional Spin Relaxation in Large Electric Fields

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