The nanoHUB tool “Quantum Dot Lab” allows users to compute the quantum mechanical “particle in a box” problem for a variety of different confinement shapes, such as boxes, ellipsoids, disks, and pyramids. Users can explore the energy spectrum and orbital shapes of new quantized states interactively. These artificial atoms have their own particular optical absorption properties that can be explored interactively in seconds. This presentation introduces the particle in the box problem in 1D and 3D, explores the concept of occupied and empty states, allowed transitions, and optical absorption. Students are encouraged to duplicate all the simulation results shown in the presentation. Exercises and a project or homework assignment is given at the end of the presentation.
Grissom, Room 274, Purdue University, West Lafayette, IN