The effects of parabolic and shifted parabolic potentials on centred hydrogenic impurity-related binding energies are studied. This is theoretically achieved by solving the Schrödinger equation within the effective mass approximation. The hydrogenic impurity situates in the core of a spatially constant electrostatic potential, surrounded by a shell material which has either an intrinsic parabolic potential or shifted parabolic potential. For a given outer radius of the shell, the parabolic potential enhances binding energies (with greater enhancement for small radii of the core), while the shifted parabolic potential dwindles binding energies for small cores, and increases the binding energies for larger cores. An increase in the spatially invariant potential in the core results in reduced binding energies, with appreciable decrement occurring in core–shell structures that have wider cores.

中文翻译：

---

球形核-壳量子点中的供体结合能：抛物线和位移抛物线壳势

研究了抛物线形和位移抛物线形电势对居中氢杂质相关结合能的影响。从理论上讲，这是通过在有效质量近似值内求解薛定ding方程来实现的。氢杂质位于空间恒定的静电势的核心中，该静电势被具有固有抛物线电势或移位抛物线电势的壳材料包围。对于给定的壳体外半径，抛物线电势会增强结合能（对于纤芯的小半径有更大的增强），而偏移的抛物线电势会削弱小核的结合能，而增大大核的结合能。核心空间不变电位的增加导致结合能降低，