Relativistic Quantum Mechanics, 6 credits

Relativistisk kvantmekanik, 6 hp

TFYA57

Main field of study

Applied Physics Physics

Course level

Second cycle

Course type

Programme course

Examiner

Sergei Simak

Director of studies or equivalent

Magnus Johansson

Education components

Preliminary scheduled hours: 48 h
Recommended self-study hours: 112 h

Available for exchange students

Yes
Course offered for Semester Period Timetable module Language Campus ECV
6CYYI Applied Physics and Electrical Engineering - International, M Sc in Engineering 9 (Autumn 2017) 2 3 English Linköping E
6CYYI Applied Physics and Electrical Engineering - International, M Sc in Engineering 9 (Autumn 2017) 2 3 English Linköping E
6CYYI Applied Physics and Electrical Engineering - International, M Sc in Engineering 9 (Autumn 2017) 2 3 English Linköping E
6CYYI Applied Physics and Electrical Engineering - International, M Sc in Engineering 9 (Autumn 2017) 2 3 English Linköping E
6CYYI Applied Physics and Electrical Engineering - International, M Sc in Engineering 9 (Autumn 2017) 2 3 English Linköping E
6CYYI Applied Physics and Electrical Engineering - International, M Sc in Engineering (Applied Mathematics) 9 (Autumn 2017) 2 3 English Linköping E
6CYYI Applied Physics and Electrical Engineering - International, M Sc in Engineering (Applied Mathematics) 9 (Autumn 2017) 2 3 English Linköping E
6CYYI Applied Physics and Electrical Engineering - International, M Sc in Engineering (Applied Mathematics) 9 (Autumn 2017) 2 3 English Linköping E
6CYYI Applied Physics and Electrical Engineering - International, M Sc in Engineering (Applied Mathematics) 9 (Autumn 2017) 2 3 English Linköping E
6CYYI Applied Physics and Electrical Engineering - International, M Sc in Engineering (Applied Mathematics) 9 (Autumn 2017) 2 3 English Linköping E
6CYYI Applied Physics and Electrical Engineering - International, M Sc in Engineering (Theory, Modelling and Visualization) 7 (Autumn 2017) 2 3 English Linköping E
6CYYI Applied Physics and Electrical Engineering - International, M Sc in Engineering (Theory, Modelling and Visualization) 7 (Autumn 2017) 2 3 English Linköping E
6CYYI Applied Physics and Electrical Engineering - International, M Sc in Engineering (Theory, Modelling and Visualization) 7 (Autumn 2017) 2 3 English Linköping E
6CYYI Applied Physics and Electrical Engineering - International, M Sc in Engineering (Theory, Modelling and Visualization) 7 (Autumn 2017) 2 3 English Linköping E
6CYYI Applied Physics and Electrical Engineering - International, M Sc in Engineering (Theory, Modelling and Visualization) 7 (Autumn 2017) 2 3 English Linköping E
6CYYY Applied Physics and Electrical Engineering, M Sc in Engineering 9 (Autumn 2017) 2 3 English Linköping E
6CYYY Applied Physics and Electrical Engineering, M Sc in Engineering (Applied Mathematics) 9 (Autumn 2017) 2 3 English Linköping E
6CYYY Applied Physics and Electrical Engineering, M Sc in Engineering (Theory, Modelling and Visualization) 7 (Autumn 2017) 2 3 English Linköping E
6MFYS Physics and Nanoscience, Master's programme 3 (Autumn 2017) 2 3 English Linköping E
6MFYS Physics and Nanoscience, Master's programme (Teoretisk fysik) 3 (Autumn 2017) 2 3 English Linköping E
ECV = Elective / Compulsory / Voluntary

Main field of study

Applied Physics, Physics

Course level

Second cycle

Advancement level

A1X

Course offered for

  • Applied Physics and Electrical Engineering, M Sc in Engineering
  • Applied Physics and Electrical Engineering - International, M Sc in Engineering
  • Physics and Nanoscience, Master's programme

Specific information

The course is given every second year. it will be offered during 2015

Entry requirements

Note: Admission requirements for non-programme students usually also include admission requirements for the programme and threshold requirements for progression within the programme, or corresponding.

Prerequisites

Classical Electrodynamics, Analytical mechanics, Quantum mechanics.

Intended learning outcomes

The purpose of the course is to introduce students into relativistic quantum theory, emphasizing its important applications in condensed matter physics. After having passed the examination the students should have obtained such knowledge that the ability to understand research literature using relativistic quantum mechanical language is essentially increased. After finishing the course the students know:

  • foundations of modern first-principles theories based on relativistic quantum mechanics
  • foundations of scattering theory
  • how to solve relativistic quantum mechanics problems that involve topics listed in the course content

 

Course content

Basic theory, including special relativity and angular momentum. Dirac equation, symmetries and operators, and free particles. Physical consequences of solutions, model problems. Important applications of quantum theory to condensed matter.
Relevant theory for the one-electron atom. Development of the theory to describe the quantum mechanics of many electron systems, including Hartree-Fock and density functional methods. Scattering theory and band structures.

Teaching and working methods

The course is given as lectures.

Examination

UPG1Homework problems and oral presentation6 creditsU, 3, 4, 5

Grades

,

Department

Institutionen för fysik, kemi och biologi

Director of Studies or equivalent

Magnus Johansson

Examiner

Sergei Simak

Course website and other links

http://www.ifm.liu.se/undergrad/fysikgtu/coursepage.html?selection=all&sort=kk

Education components

Preliminary scheduled hours: 48 h
Recommended self-study hours: 112 h

Course literature

"Relativistic Quantum Mechanics", Paul Strange
Code Name Scope Grading scale
UPG1 Homework problems and oral presentation 6 credits U, 3, 4, 5
"Relativistic Quantum Mechanics", Paul Strange

Note: The course matrix is not fully translated to English.

I U A Modules Comment
1. ÄMNESKUNSKAPER
1.1 Kunskaper i grundläggande matematiska och naturvetenskapliga ämnen
X
X
UPG1
A: Kvantmekanik, kvantdynamik, Elektromagnetism, Relativitetsteori, Fasta tillståndets fysik
1.2 Kunskaper i grundläggande (motsvarande G1X) teknikvetenskapliga ämnen
1.3 Fördjupade kunskaper (motsvarande G2X), metoder och verktyg inom något/några teknik- och naturvetenskapliga ämnen
1.4 Väsentligt fördjupade kunskaper (motsvarande A1X), metoder och verktyg inom något/några teknik- och naturvetenskapliga ämnen
1.5 Insikt i aktuellt forsknings- och utvecklingsarbete
2. INDIVIDUELLA OCH YRKESMÄSSIGA FÄRDIGHETER OCH FÖRHÅLLNINGSSÄTT
2.1 Analytiskt tänkande och problemlösning
X
X
UPG1
Problemlösning, modellering, kreativt tänkande
2.2 Experimenterande och undersökande arbetssätt samt kunskapsbildning
2.3 Systemtänkande
2.4 Förhållningssätt, tänkande och lärande
2.5 Etik, likabehandling och ansvarstagande
3. FÖRMÅGA ATT ARBETA I GRUPP OCH ATT KOMMUNICERA
3.1 Arbete i grupp
3.2 Kommunikation
X
UPG1
Muntlig framställning
3.3 Kommunikation på främmande språk
X
X
UPG1
Kursen ges på engelska
4. PLANERING, UTVECKLING, REALISERING OCH DRIFT AV TEKNISKA PRODUKTER OCH SYSTEM MED HÄNSYN TILL AFFÄRSMÄSSIGA OCH SAMHÄLLELIGA BEHOV OCH KRAV
4.1 Samhälleliga villkor, inklusive ekonomiskt, socialt och ekologiskt hållbar utveckling för kunskapsutveckling
4.2 Företags- och affärsmässiga villkor
4.3 Att identifiera behov samt strukturera och planera utveckling av produkter och system
4.4 Att konstruera produkter och system
4.5 Att realisera produkter och system
4.6 Att ta i drift och använda produkter och system
5. PLANERING, GENOMFÖRANDE OCH PRESENTATION AV FORSKNINGS- ELLER UTVECKLINGSPROJEKT MED HÄNSYN TILL VETENSKAPLIGA OCH SAMHÄLLELIGA BEHOV OCH KRAV
5.1 Samhälleliga villkor, inklusive ekonomiskt, socialt och ekologiskt hållbar utveckling
5.2 Ekonomiska villkor för kunskapsutveckling
5.3 Att identifiera behov samt strukturera och planera forsknings- eller utvecklingsprojekt
5.4 Att genomföra forsknings- eller utvecklingsprojekt
X
UPG1
Muntlig framställning
5.5 Att redovisa och utvärdera forsknings- eller utvecklingsprojekt
UPG1

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