### Abstract

We study the electronic properties of quantum dot arrays formed by 2 to 12 vertically aligned quantum dots numerically. Numerical schemes in grid points choosing, finite differences, matrix reduction, and large-scale eigenvalue problem solver are discussed. The schemes allow us to compute all the desired energy states and the wave functions efficiently. Numerical experiment results are presented.

Original language | English |
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Pages (from-to) | 908-911 |

Number of pages | 4 |

Journal | Lecture Notes in Computer Science |

Volume | 3516 |

Issue number | III |

Publication status | Published - 2005 Sep 30 |

Event | 5th International Conference on Computational Science - ICCS 2005 - Atlanta, GA, United States Duration: 2005 May 22 → 2005 May 25 |

### Fingerprint

### Keywords

- Energy levels
- Numerical simulation
- Semiconductor quantum dot array
- The Schrödinger equation
- Wave function

### ASJC Scopus subject areas

- Theoretical Computer Science
- Computer Science(all)

### Cite this

*Lecture Notes in Computer Science*,

*3516*(III), 908-911.

**Numerical simulation of three-dimensional vertically aligned quantum dot array.** / Wang, Weichung; Hwang, Tsung Min.

Research output: Contribution to journal › Conference article

*Lecture Notes in Computer Science*, vol. 3516, no. III, pp. 908-911.

}

TY - JOUR

T1 - Numerical simulation of three-dimensional vertically aligned quantum dot array

AU - Wang, Weichung

AU - Hwang, Tsung Min

PY - 2005/9/30

Y1 - 2005/9/30

N2 - We study the electronic properties of quantum dot arrays formed by 2 to 12 vertically aligned quantum dots numerically. Numerical schemes in grid points choosing, finite differences, matrix reduction, and large-scale eigenvalue problem solver are discussed. The schemes allow us to compute all the desired energy states and the wave functions efficiently. Numerical experiment results are presented.

AB - We study the electronic properties of quantum dot arrays formed by 2 to 12 vertically aligned quantum dots numerically. Numerical schemes in grid points choosing, finite differences, matrix reduction, and large-scale eigenvalue problem solver are discussed. The schemes allow us to compute all the desired energy states and the wave functions efficiently. Numerical experiment results are presented.

KW - Energy levels

KW - Numerical simulation

KW - Semiconductor quantum dot array

KW - The Schrödinger equation

KW - Wave function

UR - http://www.scopus.com/inward/record.url?scp=25144517234&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=25144517234&partnerID=8YFLogxK

M3 - Conference article

AN - SCOPUS:25144517234

VL - 3516

SP - 908

EP - 911

JO - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

JF - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

SN - 0302-9743

IS - III

ER -