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采用求解能量本征方程、幺正变换和变分相结合的方法,研究声子和磁场对量子环中极化子性质的影响.对KBr量子环的数值计算表明,电子或极化子的基态能量随量子环频率(或平均半径)的增大而增大,极化子基态能移随量子环频率的增大(或平均半径的减小)而减小,极化子中的平均声子数随量子环频率的增大(或平均半径的减小)而增大.当有垂直磁场时,极化子基态能量和基态能移与外磁场及电子转动状态有关.随着磁场强度的增大,基态能量出现简并且呈现非周期性振荡;能移随磁场强度的增大(或转动量子数绝对值的减小)而减小.
The effects of phonon and magnetic field on the properties of polaron in the quantum ring were studied by solving the eigen equation of energy, unitary transformation and variational method.The numerical calculation of the KBr quantum ring showed that the ground state of the electron or polaron The energy increases with the increase of the frequency (or mean radius) of the quantum ring. The ground state energy of the polaron decreases with the increase of the quantum ring frequency (or the decrease of the mean radius). The average phonons When the vertical magnetic field is applied, the ground state energy and the ground state energy shift of the polaron are related to the external magnetic field and electron spin state. As the increase of the magnetic field strength (or the decrease of the average radius) Large, ground-state energy appears degenerate and presents non-periodic oscillations; energy shifts decrease as the magnetic field strength increases (or as the absolute value of the rotating quantum number decreases).