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:
1. Understand and apply the fundamental principles of quantum mechanics relevant to semiconductor physics.
2. Analyze quantum phenomena in semiconductors, including quantum confinement, tunneling, reflection, and electron wave behavior.
3. Explain the quantum free-electron model of solids and derive the density of states in 1D, 2D, and 3D semiconductor systems.
4. Describe carrier statistics under equilibrium and non-equilibrium conditions, including quasi-Fermi levels under illumination.
單元 1:Introduction to Quantum Mechanics
單元 2:Quantum Confinement and Tunneling
單元 3:Electron Waves, Effective Mass, and Free-Electron Theory
單元 4:Density of States (DOS) To be filled in Semiconductors
單元 5:Equilibrium Carrier Concentrations
單元 6:Energy Band Diagrams and Device Implications
1. Integrates quantum mechanics with practical semiconductor physics, bridging abstract theory and device-relevant concepts.
2. Emphasizes dimensionality effects (1D, 2D, 3D) on density of states and carrier behavior.
3. Covers both equilibrium and illuminated conditions, preparing students for optoelectronic and electronic applications.
4. Develops strong analytical and conceptual foundations essential for advanced semiconductor device courses and research.
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.
Each quiz consists of multiple-choice questions with four options. All questions are based on the information covered in the course videos.
Learners who achieve a total score of 60 points or above will be eligible to download a Certificate of Completion (a fee is required for certificate issuance).
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: