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In this paper, using an improved linear combination operator method and variational technique, the expression of the bound polaron effective mass ratio in a parabolic quantum well is derived. Due to the spin–orbit interaction, the effective mass ratio of bound polaron splits into two branches. The relations among effective mass ratio with temperature, electron–phonon coupling strength and Coulomb bound potential strength are discussed by numerical calculation. The effective mass ratio of polaron is an increasing function of temperature, electron–phonon coupling strength and Coulomb bound potential strength. The absolute value of spin splitting effective mass ratio increases with the increase of temperature, spin–orbit coupling parameter, electron–phonon coupling strength and Coulomb bound potential strength, respectively, and decreases with the increase of velocity. Due to the heavy hole characteristic, the spin splitting effective mass ratio is negative. [ABSTRACT FROM AUTHOR]

Using Tokuda's improved linear combination operator method and variational technique, the expression of the polaron effective mass in an parabolic quantum well is derived. Due to the spin-orbit interaction, the effective mass of polaron splits into two branches. The dependence of effective mass on temperature and mean number phonons is discussed by numerical calculation. The effective mass of polaron is an increasing function of temperature and mean number phonons. The absolute value of total spin splitting effective mass increases with the increase in temperature and spin-orbit coupling parameter, and decreases with the increase in velocity. Due to the heavy hole characteristic, the spin splitting effective mass is negative. [ABSTRACT FROM AUTHOR]