The strong coupling polaron in a slab of polar crystal in magnetic field is investigated by means of the extended the strong coupling variational theory of polaron. The energy and the effective mass of polaron are derived as functions of slab thickness and magnetic field. The numerical results of Cu2O slab show that the influence of magnetic field reduces the energy of polaron and enhances the energy shift of electron, and that the surface optical modes are important to polaronic effect in a thin slab and in the presence of magnetic field.
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