Relativistic Quantum Mechanics, 6 credits

Relativistisk kvantmekanik, 6 hp

TFYA57

The course is disused. Replaced by TFYT06.

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
ECV = Elective / Compulsory / Voluntary
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

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 might contain more information in Swedish.

I = Introduce, U = Teach, A = Utilize
I U A Modules Comment
1. DISCIPLINARY KNOWLEDGE AND REASONING
1.1 Knowledge of underlying mathematics and science (G1X level)
X
X
UPG1

                            
1.2 Fundamental engineering knowledge (G1X level)

                            
1.3 Further knowledge, methods, and tools in one or several subjects in engineering or natural science (G2X level)

                            
1.4 Advanced knowledge, methods, and tools in one or several subjects in engineering or natural sciences (A1X level)

                            
1.5 Insight into current research and development work

                            
2. PERSONAL AND PROFESSIONAL SKILLS AND ATTRIBUTES
2.1 Analytical reasoning and problem solving
X
X
UPG1

                            
2.2 Experimentation, investigation, and knowledge discovery

                            
2.3 System thinking

                            
2.4 Attitudes, thought, and learning

                            
2.5 Ethics, equity, and other responsibilities

                            
3. INTERPERSONAL SKILLS: TEAMWORK AND COMMUNICATION
3.1 Teamwork

                            
3.2 Communications
X
UPG1

                            
3.3 Communication in foreign languages
X
X
UPG1

                            
4. CONCEIVING, DESIGNING, IMPLEMENTING AND OPERATING SYSTEMS IN THE ENTERPRISE, SOCIETAL AND ENVIRONMENTAL CONTEXT
4.1 External, societal, and environmental context

                            
4.2 Enterprise and business context

                            
4.3 Conceiving, system engineering and management

                            
4.4 Designing

                            
4.5 Implementing

                            
4.6 Operating

                            
5. PLANNING, EXECUTION AND PRESENTATION OF RESEARCH DEVELOPMENT PROJECTS WITH RESPECT TO SCIENTIFIC AND SOCIETAL NEEDS AND REQUIREMENTS
5.1 Societal conditions, including economic, social, and ecological aspects of sustainable development for knowledge development

                            
5.2 Economic conditions for knowledge development

                            
5.3 Identification of needs, structuring and planning of research or development projects

                            
5.4 Execution of research or development projects
X
UPG1

                            
5.5 Presentation and evaluation of research or development projects
UPG1

                            

This tab contains public material from the course room in Lisam. The information published here is not legally binding, such material can be found under the other tabs on this page.

There are no files available for this course.