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Relativistic Quantum Mechanics, 6 credits
Relativistisk kvantmekanik, 6 hp
TFYA57
Main field of study
Applied Physics PhysicsCourse level
Second cycleCourse type
Programme courseExaminer
Sergei SimakDirector of studies or equivalent
Magnus JohanssonEducation components
Preliminary scheduled hours: 48 hRecommended self-study hours: 112 h
Available for exchange students
YesECV = Elective / Compulsory / Voluntary
Main field of study
Applied Physics, PhysicsCourse level
Second cycleAdvancement level
A1XCourse 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
| UPG1 | Homework problems and oral presentation | 6 credits | U, 3, 4, 5 |
Grades
,Department
Institutionen för fysik, kemi och biologiDirector of Studies or equivalent
Magnus JohanssonExaminer
Sergei SimakCourse website and other links
http://www.ifm.liu.se/undergrad/fysikgtu/coursepage.html?selection=all&sort=kkEducation components
Preliminary scheduled hours: 48 hRecommended 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 |
Course literature is preliminary.
"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
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X
|
UPG1
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| 1.2 Fundamental engineering knowledge (G1X level) |
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| 1.3 Further knowledge, methods, and tools in one or several subjects in engineering or natural science (G2X level) |
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| 1.4 Advanced knowledge, methods, and tools in one or several subjects in engineering or natural sciences (A1X level) |
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| 1.5 Insight into current research and development work |
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| 2. PERSONAL AND PROFESSIONAL SKILLS AND ATTRIBUTES | ||||||
| 2.1 Analytical reasoning and problem solving |
|
X
|
X
|
UPG1
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| 2.2 Experimentation, investigation, and knowledge discovery |
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| 2.3 System thinking |
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| 2.4 Attitudes, thought, and learning |
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| 2.5 Ethics, equity, and other responsibilities |
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| 3. INTERPERSONAL SKILLS: TEAMWORK AND COMMUNICATION | ||||||
| 3.1 Teamwork |
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| 3.2 Communications |
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X
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UPG1
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| 3.3 Communication in foreign languages |
|
X
|
X
|
UPG1
|
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| 4. CONCEIVING, DESIGNING, IMPLEMENTING AND OPERATING SYSTEMS IN THE ENTERPRISE, SOCIETAL AND ENVIRONMENTAL CONTEXT | ||||||
| 4.1 External, societal, and environmental context |
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| 4.2 Enterprise and business context |
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| 4.3 Conceiving, system engineering and management |
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| 4.4 Designing |
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| 4.5 Implementing |
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| 4.6 Operating |
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| 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 |
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| 5.2 Economic conditions for knowledge development |
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| 5.3 Identification of needs, structuring and planning of research or development projects |
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| 5.4 Execution of research or development projects |
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X
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UPG1
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| 5.5 Presentation and evaluation of research or development projects |
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UPG1
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