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We introduce a nonminimal coupling into the Dirac equation as a model of describing the interaction of a Dirac neutral particle with an induced electric dipole moment with magnetic and electric fields. Then, we obtain a relativistic geometric quantum phase from the interaction of the induced electric dipole moment with electric and magnetic fields. Further, we include the permanent magnetic dipole moment of the Dirac neutral particle besides the induced electric dipole moment and obtain the relativistic geometric quantum phase.

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