### Abstract

In previous papers we calculated the energy spectra of a hydrogen impurity located at the center of spherical and parabolic quantum dots. In this work, a comparison of the eigenstates of a hydrogenic impurity in spherical and parabolic quantum dots is discussed in detail. Moreover, the Stark effect on the parabolic quantum dots is investigated. Our calculated results reveal that for both spherical and parabolic quantum dots, the eigenenergies are just like those of a free-space hydrogenic atom, when the dot size is extremely small. On the other hand, the eigenenergies are also like those of a free-space hydrogenic atom when the dot size is extremely large, except that they are shifted by the confining potential. When the dot size is between these two extreme situations, the energy level splitting and degeneracy of the energy levels are quite different for these two cases. The theoretical results show that the energy plateau of the parabolic quantum dot is not obvious when compared to that of the spherical quantum dot.

Original language | English |
---|---|

Pages (from-to) | 625-634 |

Number of pages | 10 |

Journal | Chinese Journal of Physics |

Volume | 39 |

Issue number | 6 |

Publication status | Published - 2001 Dec 1 |

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### All Science Journal Classification (ASJC) codes

- Physics and Astronomy(all)

### Cite this

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*Chinese Journal of Physics*, vol. 39, no. 6, pp. 625-634.

**A comparison of the eigenstates of a hydrogenic impurity in spherical and parabolic quantum dots.** / Yang, Chun Ching.

Research output: Contribution to journal › Article

TY - JOUR

T1 - A comparison of the eigenstates of a hydrogenic impurity in spherical and parabolic quantum dots

AU - Yang, Chun Ching

PY - 2001/12/1

Y1 - 2001/12/1

N2 - In previous papers we calculated the energy spectra of a hydrogen impurity located at the center of spherical and parabolic quantum dots. In this work, a comparison of the eigenstates of a hydrogenic impurity in spherical and parabolic quantum dots is discussed in detail. Moreover, the Stark effect on the parabolic quantum dots is investigated. Our calculated results reveal that for both spherical and parabolic quantum dots, the eigenenergies are just like those of a free-space hydrogenic atom, when the dot size is extremely small. On the other hand, the eigenenergies are also like those of a free-space hydrogenic atom when the dot size is extremely large, except that they are shifted by the confining potential. When the dot size is between these two extreme situations, the energy level splitting and degeneracy of the energy levels are quite different for these two cases. The theoretical results show that the energy plateau of the parabolic quantum dot is not obvious when compared to that of the spherical quantum dot.

AB - In previous papers we calculated the energy spectra of a hydrogen impurity located at the center of spherical and parabolic quantum dots. In this work, a comparison of the eigenstates of a hydrogenic impurity in spherical and parabolic quantum dots is discussed in detail. Moreover, the Stark effect on the parabolic quantum dots is investigated. Our calculated results reveal that for both spherical and parabolic quantum dots, the eigenenergies are just like those of a free-space hydrogenic atom, when the dot size is extremely small. On the other hand, the eigenenergies are also like those of a free-space hydrogenic atom when the dot size is extremely large, except that they are shifted by the confining potential. When the dot size is between these two extreme situations, the energy level splitting and degeneracy of the energy levels are quite different for these two cases. The theoretical results show that the energy plateau of the parabolic quantum dot is not obvious when compared to that of the spherical quantum dot.

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M3 - Article

AN - SCOPUS:0038594331

VL - 39

SP - 625

EP - 634

JO - Chinese Journal of Physics

JF - Chinese Journal of Physics

SN - 0577-9073

IS - 6

ER -