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A radial magnetic field can induce a time invariance violating electricdipole moment (EDM) in quantum systems. The EDMs of the Tl, Cs, Xe and Hg atomsand the neutron that are produced by such a field are estimated. Thecontributions of such a field to the constants, $\chi$ of the T,P-oddinteractions $\chi_e {\bf N} \cdot {\bf s}/s$ and $\chi_N {\bf N} \cdot {\bfI}/I$ are also estimated for the TlF, HgF and YbF molecules (where ${\bf s}$(${\bf I}$) is the electron (nuclear) spin and ${\bf N}$ is the molecularaxis). The best limit on the contact monopole field can be obtained from themeasured value of the Tl EDM. The possibility of such a field being producedfrom polarization of the vacuum of electrically charged magnetic monopoles(dyons) by a Coulomb field is discussed, as well as the limit on these dyons.An alternative mechanism involves chromomagnetic and chromoelectric fields inQCD.Comment: Uses RevTex, 16 pages, 4 postscript figures. An explanation of why  there is no orbital contribution to the EDM has been added, and the  presentation has been improved in genera

Limits on the monopole polarization magnetic field from measurements of the electric dipole moments of atoms, molecules, and the neutron