Mathematical Physics (MatFys)
Course content
A. Classical mechanics: A1. Newtonian mechanics. A2. Calculus of variations and Lagrangian mechanics, including Noether's theorem. A3. Legendre-Fenchel transform and Hamiltonian mechanics, including Liouville's theorem.
B. Quantum mechanics: B1. Hilbert space theory. B2. Operators on
Hilbert space, including basic spectral theory. B3. The
quantum mechanical formalism, including the Schrödinger
representation, the momentum representation, and Fourier
transformation. B4. The free particle, the harmonic oscillator and
the hydrogen atom.
BSc Programme in Physics
At the end of the course the students are expected to have acquired the following knowledge and associated tool box:
- the mathematical formulation of clasical mechanics
- the mathematical formulation of quantum mechanics
- symmetries and transformations, e.g., the Galillei transformation
- the fundamental theorems on Hilbert spaces
- properties of simple bounded and unbounded operators
- the free Laplace operator and elementary properties of its spectral theory
Skills:
- be able to work rigorously with problems from classical mechanics
- be able to work rigorously with problems from quantum mechanics
- be able to determine the spectrum of simple bounded and unbounded operators with discrete spectrum
- be able to rigorously analyze the quantum harmonic oscillator and/or the hydrogen atom
Competences: The course aims at training the students in representing, modelling and handling physical problems by mathematical concepts and techniques.
5 hours of lectures and 4 hours of exercises per week for 9 weeks.
Introduktion til matematik (MatIntro) and Lineær Algebra (LinAlg) or similar. Analysis 0 (An0) or Analysis 1 (An1) or similar will be an advantage. The course also requires prerequisites in physics corresponding to the A-level for physics in high school.
- ECTS
- 7,5 ECTS
- Type of assessment
-
Continuous assessment
- Type of assessment details
- The students' performance will be evaluated on the basis of three assignments during the course. When calculating the final mark, the three assignments are weighted equally.
- Aid
- All aids allowed
- Marking scale
- 7-point grading scale
- Censorship form
- No external censorship
One internal examiner
- Re-exam
-
Final exam with two internal examiners: a 30 minutes oral exam without preparation or aids.
Criteria for exam assessment
The student should convincingly and accurately demonstrate the knowledge, skills and competences described under Intended learning outcome.
Single subject courses (day)
- Category
- Hours
- Lectures
- 45
- Preparation
- 100
- Theory exercises
- 36
- Exam
- 25
- English
- 206
Kursusinformation
- Language
- English
- Course number
- NMAA05012U
- ECTS
- 7,5 ECTS
- Programme level
- Bachelor
- Duration
-
1 block
- Placement
- Block 3
- Schedulegroup
-
C
- Capacity
- The number of places might be reduced if you register in the late-registration period (BSc and MSc) or as a credit or single subject student.
- Studyboard
- Study Board of Mathematics and Computer Science
Contracting department
- Department of Mathematical Sciences
Contracting faculty
- Faculty of Science
Course Coordinator
- Albert H. Werner (6-5c6a77736a77457266796d33707a336970)
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Kursusinformation for indskrevne studerende