2018-2019 / PHYS0211-3

Quantum mechanics

Duration

26h Th, 26h Pr

Number of credits

 Bachelor in engineering5 crédits 
 Master in physical engineering (120 ECTS)5 crédits 

Lecturer

John Martin

Language(s) of instruction

French language

Organisation and examination

Teaching in the first semester, review in January

Schedule

Schedule online

Units courses prerequisite and corequisite

Prerequisite or corequisite units are presented within each program

Learning unit contents

This course is an introduction to quantum mechanics, a central theory for the understanding of physical processes on the microscopic scale.
Covered topics :

  • fundamental ideas of quantum mechanics
  • mathematical basis
  • postulates, Schrödinger equation
  • Heisenberg inequalities, Ehrenfest theorem
  • harmonic oscillator
  • angular momentum
  • spin
  • quantum many-body systems
  • hydrogen atom
These topics will be illustrated by examples relevant to the engineer, in particular related to the emergent quantum technologies.

Learning outcomes of the learning unit

After the completion of this course, the student will be able to :

  • apprehend the internal machinery of quantum theory
  • carry out predictive calculations on simple quantum systems
  • illustrate fundamental concepts of quantum mechanics on actual examples
  • identify situations for which the use of quantum mechanics is essential

Prerequisite knowledge and skills

Advanced notions of mathematical analysis (Fourier transform, function spaces, ...).

Planned learning activities and teaching methods

The course consists of ex cathedra lectures supported by derivations on the blackboard.

Mode of delivery (face-to-face ; distance-learning)

See "Planned learning activities and teaching methods".

Recommended or required readings

Suggested book: Mécanique quantique, J.-L. Basdevant and J. Dalibard, Eds de l'Ecole Polytechnique, Palaiseau (France), 2002, ISBN 2-7302-0914-X
A pdf version of the slides will be available on myULg (eCampus).

Assessment methods and criteria

A written test covering theory (50%) and exercices (50%) will be organized in January and August.

Work placement(s)

Organizational remarks

Contacts

John Martin Physics Department, I.P.N.A.S., B15, Sart Tilman, 4000 Liège (BELGIUM) Tel. : +32 4 366 28 64 - Fax : +32 4 366 28 84 email : jmartin@uliege.be
Lionel Podlecki Physics Department, I.P.N.A.S., B15, Sart Tilman, Tel. : +32 4 366 36 94 email : lionel.podlecki@uliege.be