有限深势阱里量子盘中极化子的基态性质

采用平面波展开、幺正变换和变分相结合的方法推导出有限深势阱里量子盘中极化子的基态能量公式.采用极化子单位进行数值计算，结果表明极化子的基态能量随势垒高度和势垒宽度的增大而增大，原因是势垒愈高、愈宽，电子穿透势垒的可能性愈小，导致电子能量增大，进而导致极化子基态能量增大.数值计算结果还表明极化子的基态能量随量子盘有效受限长度和量子盘半径的增大而减小；声子效应导致极化子能量较电子能量低.

The Properties of Ground State of Polaron in Quantum Disk in Finite Depth Potential Well

The formula of ground state energy of polaron in quantum disk in finite depth potential well is derived by expanding the potential function as plane waves, LLP unitary transformation and variation method. Numerical calculating by using polaron unit, numerical results indicate that ground state energy of polaron increases with increasing the width or height of the finite depth potential well, because probability of electron penetrating potential barrier of finite depth potential well will decrease when the width or height of potential barrier increases, so that electronic energy and energy of polaron increase. Oppositely, ground state energy of polaron decreases with increasing effective confine length and radius of quantum disk, because the more effective confine length is, the weaker electron is bounded and the smaller potential energy is, so that energy of polaron decreases. The phonon effect leads to ground state energy of polaron lower than electronic ground state energy.