Level of Education
5 years of post-secondary education
ECTS
3 credits
Training Structure
College of Sciences
Number of hours
21h
Description
This course is designed to provide students with skills in the numerical solution of the Schrödinger equation in order to simulate complex quantum well structures. The course begins with a study of cases where the solution is analytical, followed by cases where the solution is semi-analytical, before moving on to the finite difference (FD) method. Various FD schemes are presented, each accompanied by an evaluation of convergence as a function of key parameters (domain truncation, number of samples, etc.). Finally, examples of concrete physical applications are examined.
Objectives
Proficiency in the finite-difference method for simulating quantum structures (complex quantum wells, etc.).
Mandatory Prerequisites
Basic Quantum Mechanics: Quantum Wells
Recommended prerequisites:
Common programming languages: MATLAB/Octave
Knowledge Assessment
Final Exam
Course Outline
This course is designed to provide students with skills in the numerical solution of the Schrödinger equation in order to simulate complex quantum well structures. The course begins with a study of cases where the solution is analytical, followed by cases where the solution is semi-analytical, before moving on to the finite difference (FD) method. Various FD schemes are presented, each accompanied by an evaluation of convergence as a function of key parameters (domain truncation, number of samples, etc.). Finally, examples of concrete physical applications are examined.