Charge density waves of Schrödinger boundary problem for data storage of nanosize ferroics with incommensurate phases

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In the article we have found the analytical chiral solutions of stationary Schrödinger boundary problem for domain wall for data storage of nanosize ferroics with incommensurately modulated sinusoidal polarization waves P_{3}. The both quantized energies and wave vectors of stationary Schrödinger boundary problem for P_{3} with sinusoidal depolarization waves for the thin S_{2}P_{2}Se_{6} are specified. We have specified the analytical quantized solutions for the frequency dispersion of soft phonon modes in nanosize ferroics in framework of Landau-Ginsburg-Devonshire (LGD) theory as well as the numerical calculation results for the thin SrTiO_{3} nanofilm have been presented. The frequency quantized dispersion of soft phonon modes in nanosize ferroics found from stationary Schrödinger boundary problem for domain wall are shown to be related with the Rashba and Dresselhaus quantized energies as well as their wave vectors for electrons in quantized magnetic field. I think in the article ~\cite{Morozovska2:2010jd} the derived of Phase diagram modeling and domain splitting in thin ferroelectric films with incommensurate phase by A.N. Morozovska et.al. were not allowed and consequently were not found by means of the uncertain inference of just these similar symmetrical expressions into \eqref{deqwavevector11&}, \eqref{deq121imag&}.

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