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Graduate courses

Departments' graduate courses for PhD-students.


Syllabus for

Academic year
FKA132 - Quantum engineering
Syllabus adopted 2017-02-18 by Head of Programme (or corresponding)
Owner: MPNAT
7,5 Credits
Grading: TH - Five, Four, Three, Fail
Education cycle: Second-cycle
Major subject: Engineering Physics

Teaching language: English
Open for exchange students
Block schedule: D

Course module   Credit distribution   Examination dates
Sp1 Sp2 Sp3 Sp4 Summer course No Sp
0113 Examination 7,5 c Grading: TH   7,5 c   25 Oct 2017 pm M,  Contact examiner,  Contact examiner

In programs



Professor  Per Hyldgaard


FKA131   Fundamentals of nanoscience

  Go to Course Homepage


In order to be eligible for a second cycle course the applicant needs to fulfil the general and specific entry requirements of the programme that owns the course. (If the second cycle course is owned by a first cycle programme, second cycle entry requirements apply.)
Exemption from the eligibility requirement: Applicants enrolled in a programme at Chalmers where the course is included in the study programme are exempted from fulfilling these requirements.

Course specific prerequisites

Bachelor in physics, electrical engineering, chemistry, or equivalent
level of education


The objective for this course is to meet the increased need of knowledge about quantum engineering that electrical engineers, material scientists, and other applied physicists have entering the field of nanoscale physics and technology.

Learning outcomes (after completion of the course the student should be able to)

The goal of the course is to give students theoretical and technical skills to use quantum theory as tool in their continued studies and research. After completing the course in Quantum Engineering the student will have: acquired familiarity with basic tools of quantum mechanics, practical skills in solving standard quantum mechanical problems, understood and applied concepts of quantum tunneling, understood and used second quantization for the harmonic oscillator, gained numerical skills in treating scattering off and transmission through barriers, use the Lewis model of chemical bonding, apply valence bond and molecular orbital theory to common bonding situations in organic chemistry, and predict the structure of and the electron distribution in organic molecules.


The emphasis is on a practical approach to quantum mechanics rather that than a formal treatment.
Topics covered include:
- Basic quantum theory for model potentials and barriers
- Basic theory of quantum transport
- Chemical bonding and structure
- Quantum description of molecules and materials: Simple tight-binding approximation and more advanced computational methods
- The origin of intermolecular interactions and their role in the formation of molecular clusters
- Harmonic oscillator, coherent states and second quantization
- Time-independent and time-dependent perturbation theory
as well as a short introduction to:
- Electrons in magnetic field, spin
- Many-particle theory, quantum statistics, fermions and bosons
- Graphene and other layered materials


The various topics will be covered through regular lectures, exercises, and through individual projects with literature studies, computer work, and written project presentations.


You will need (access to) an introductory quantum physics book (suggestions for titles will be given at the course homepage and at the start of the course). Computer asignments will be carried out using the programming environment Matlab. You will need either previous experience with Matlab or access to a handbook on Matlab programming.


Written exam and a pass for two written project reports.

Page manager Published: Thu 04 Feb 2021.