This video is part of the course "ECE 606: Solid State Physics" taught by Gerhard Klimeck at Purdue University. The course can be found on nanoHUB.org at [ Ссылка ] or on edX at [ Ссылка ]
Table of Contents:
00:00 Section 5.2 Electrons in a finite potential well
00:09 Section 5 Analytical Solutions to Free and Bound Electrons
00:43 Select a Single Well
01:00 Assume Other Wells are De-Coupled
01:17 Assume a Reasonable Wavefunction Shape
02:12 Wavefunction Continuity Conditions
02:43 First Differential Must be Continuous
03:04 Solution Ansatz
04:04 Solution Ansatz
04:21 Apply Boundary Conditions at Interfaces
06:48 Apply Boundary Conditions at Interfaces
07:40 Graphical Solution
08:47 Graphical Solution
08:51 Graphical Solution
09:46 Wave Function Normalization
10:04 Step 5: Wave-functions
11:03 Step 5: Wave-functions
11:41 Five Steps for Closed System Analytical Solution
12:45 Key Summary of a Finite Quantum Well
13:18 Key Summary of a Finite Quantum Well
14:21 Section 5 Analytical Solutions to Free and Bound Electrons
This course provides the graduate-level introduction to understand, analyze, characterize and design the operation of semiconductor devices such as transistors, diodes, solar cells, light-emitting devices, and more.
The material will primarily appeal to electrical engineering students whose interests are in applications of semiconductor devices in circuits and systems. The treatment is physics-based, provides derivations of the mathematical descriptions, and enables students to quantitatively analyze device internal processes, analyze device performance, and begin the design of devices given specific performance criteria.
Technology users will gain an understanding of the semiconductor physics that is the basis for devices. Semiconductor technology developers may find it a useful starting point for diving deeper into condensed matter physics, statistical mechanics, thermodynamics, and materials science. The course presents an electrical engineering perspective on semiconductors, but those in other fields may find it a useful introduction to the approach that has guided the development of semiconductor technology for the past 50+ years.
