## [Pending] Nanoelectronic Modeling Lecture 30: Introduction to Quantum Dot Lab

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#### Abstract

This presentation introduces the “Quantum Dot Lab” on nanoHUB.org to an undergraduate audience. The following items will be covered

- Analytical solutions to the Schödinger Equations
- 1D particle in a box solution
- Analytical integration and normalization
- Quantum world vs. Macroscopic world
- 3D particle in a box
- Optical transition energies
- Available states
- Fermi-Dirac Distribution
- Energy absorption
- Introduction to a few tool user interface pages in Quantum Dot Lab
- Exercise 1: Visualization of wavefunctions
- Exercise 2: Asymmetric quantum dot
- Exercise 3: Pyramidal quantum dot
- Polarization dependent absorption
- Homework assignment

**Learning Objectives**:

- Appreciate that different electron confinement potentials have different analytical solution functions
- Step through the simplest particle in a box calculation using sine and cosie functions
- Appreciate the meaning of the wavefunction, the square magnitude of the wavefunction and the need for a normalization
- Understand that light can couple discrete energy states
- Transition can only occur between pairs of available states
- Get introduced to some exercises that can be performed with Quantum Dot Lab that cover the above concepts.

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Università di Pisa, Pisa, Italy