This course introduces the fundamental principles of quantum mechanics and their application to semiconductor physics. Topics include the wave equation, quantum confinement, quantum tunneling and reflection, electron wave behavior, and effective mass. The course further covers the quantum free-electron theory of solids and the density of states in k-space and energy space, with a focus on 1D, 2D, and 3D semiconductor systems and quasi-Fermi levels under illumination. Equilibrium carrier statistics are then discussed, including the Fermi–Dirac distribution, carrier concentration, Fermi–Dirac integrals, energy band diagrams for intrinsic and doped semiconductors, and the dependence of carrier concentration on doping and temperature.
By the end of this course, students will be able to:
Unit 1:Introduction to Quantum Mechanics
Unit 2:Quantum Confinement and Tunneling
Unit 3:Electron Waves, Effective Mass, and Free-Electron Theory
Unit 4:Density of States (DOS) To be filled in Semiconductors
Unit 5:Equilibrium Carrier Concentrations
Unit 6:Energy Band Diagrams and Device Implications
The course is organized into five major modules, each consisting of several short lessons.
Each lesson is presented as a video of approximately 10–30 minutes, allowing learners to study at their own pace.
After each chapter, an optional quiz is provided for learners to assess their understanding of the course content.
This course is designed primarily for third-year undergraduate students or above majoring in Electrical Engineering, Electronics Engineering, or related disciplines.
Students are recommended to have a basic understanding of the following subjects before taking this course: