• Study level

    BAC +5

  • ECTS

    3 credits

  • Component

    Faculty of Science

  • Hourly volume

    21h

Description

This course is designed to give students skills in the numerical solution of the Schrödinger equation in order to simulate complex quantum well structures. The course begins with the study of situations where the solution is analytical, followed by situations where the solution is semi-analytical, before tackling the finite-difference method DF. Different DF schemes are proposed, each time with an evaluation of convergence as a function of various key parameters (domain truncation, number of samples, etc.). Finally, examples of concrete physical applications are studied.    

 

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Objectives

 Mastery of the finite-difference method for simulating quantum structures (complex quantum wells, etc.).  

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Necessary prerequisites

Basic quantum mechanics: quantum wells

Recommended prerequisites:

Common programming languages matlab/octave 

 

 

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Knowledge control

Final examination

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Syllabus

This course is designed to give students skills in the numerical solution of the Schrödinger equation in order to simulate complex quantum well structures. The course begins with the study of situations where the solution is analytical, followed by situations where the solution is semi-analytical, before tackling the finite-difference method DF. Different DF schemes are proposed, each time with an evaluation of convergence as a function of various key parameters (domain truncation, number of samples, etc.). Finally, examples of concrete physical applications are studied.   

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