On the Size of Quantum Dots with Bound Hydrogenic Impurity States

Bulletin of the Korean chemical society

Hosung Sun¹ 

关键词: Coulomb potential;    Quantum dots;    Confluent hypergeometric functions;   

DOI  :  

学科分类：化学（综合）

来源: Korean Chemical Society

【 摘 要 】

Some particular bound state energies of an electron, under Coulomb potential field, confined in a two-dimensional circle and a three-dimensional sphere are analytically derived. The derivation shows that the electron cannot be bound in a negative energy state when the circle (or sphere) is smaller than a certain critical size. The critical size dependency on the strength of Coulomb potential and the angular momentum of the electron is also analytically derived. This system mimics quantum dots. Therefore the derivation provides new information on a minimum critical size of quantum dots with hydrogenic impurity.

【 授权许可】

Unknown