Quantized polarization solutions of stationary Schrödinger boundary problem for domain wall for data storage based on interface of polar-active ferroelectric nanofilm with semiconductor

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Landau-Ginsburg-Devonshire (LGD) theory of thin ferroelectric polar-active nanofilms and semiconductor heterostructures is presented. The quantized polarization as well as energy levels solutions of stationary Schrödinger boundary problem for domain wall for data storage based on interface of polar-active ferroelectric nanofilm with semiconductor are found. The self-consistent stationarity soliton solutions of non-linear Schrödinger or Euler-Lagrange boundary problem for the polarization vector with one-dimensional Maxwell equations system at interface of thin ferroelectric films and semiconductor in framework of LGD theory was presented. We have found the quantized solutions of stationarity non-linear Schrödinger or Euler-Lagrange boundary problem for the polarization vector with one-dimensional Maxwell equations system at interface of thin ferroelectric films and semiconductor. The self-consistent time dependence solutions of non-linear Schrödinger equation or Euler-Lagrange equation for the polarization vector with the Maxwell equations for light which propagates along Oz axis in thin ferroelectric polar-active nanofilms have been found. Quantized solutions of one-dimensional Maxwell equations for thin ferroelectric films have been specified as well as soliton time dependence solution of non-linear Schrödinger equation have been found.

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