Applied Quantum Mechanics

Data is displayed for academic year: 2023./2024.

Course Description

This course describes and discusses physical foundations of today's diodes, transistors, light-emitting diodes and semiconductor lasers which are present in computers and electronic or optoelectronic gadgets and equipment. Special attention is given to fundamental concepts of quantum mechanics: wave-particle duality, uncertainty principle, and manifestations of quantum phenomena in macroscopic world with focus on electronic devices. The course will be particularly useful to engineers who plan designing electronic circuits or working in optics.

Study Programmes

University graduate
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Learning Outcomes

  1. Explain the fundamental concepts of quantum mechanics
  2. Describe electronic elements in which quantum nature manifests itself.
  3. Describe optical elements that fundamental depend on quantum mechanics
  4. Explain how wave-particle duality gives rise to semicodnuctors
  5. Design a basic structure of a semiconductor laser at a specific wavelength
  6. Design a basic heterojunction-field-effect transistor

Forms of Teaching

Lectures

-

Grading Method

Continuous Assessment Exam
Type Threshold Percent of Grade Threshold Percent of Grade
Homeworks 0 % 50 % 0 % 0 %
Mid Term Exam: Written 0 % 25 % 0 %
Final Exam: Written 0 % 25 %
Exam: Written 0 % 100 %

Week by Week Schedule

  1. Introduction to quantum mechanics and examples of quantum effects
  2. Analytic (classical) mechanics
  3. Analytic (classical) mechanics; Lagrangian and Hamiltonian
  4. Quantum mechanics postulates. Uncertainty relations. Wave function.
  5. Electrons in conservative potentials
  6. Electrons in conservative potentials; periodic potential, effective mass and E(k) diagram
  7. Density of states, statistical mechanics and Fermi levels
  8. Midterm
  9. Heterojunctions, epitaxial growth technologies; Matthews-Blakeslee limit;
  10. Semiclassical transport, Boltzmann's transport equation, mobility in quantum structures.
  11. Examples of electronic and optoelectronic elements that use quantum structures: HBT, HEMT, laser and light-emitting diodes.
  12. Introduction to quantum transport, Green's functions, interaction formalism for contacts.
  13. Quantum noise
  14. Termal noise
  15. Final exam

Literature

Herbert Kroemer (1994.), Quantum Mechanics: For Engineering Materials Science and Applied Physics, Pearson
David A. B. Miller (2008.), Quantum Mechanics for Scientists and Engineers, Cambridge University Press
Mark Lundstrom (2000.), Fundamentals of Carrier Transport, Cambridge University Press
Supriyo Datta (1997.), Electronic Transport in Mesoscopic Systems, Cambridge University Press
Mirko Poljak (2023.), Kvantni transport na nanoskali, Element

For students

General

ID 222712
  Winter semester
5 ECTS
L0 English Level
L1 e-Learning
45 Lectures
0 Seminar
0 Exercises
0 Laboratory exercises
0 Project laboratory
0 Physical education excercises

Grading System

85 Excellent
75 Very Good
60 Good
50 Sufficient