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Advanced Mathematical Physis (AdvMathPhys)
Provider: Faculty of Science

Activity no.: 5557-23-07-31 
Enrollment deadline: 24/04/2023
PlaceDepartment of Mathematical Sciences
Universitetsparken 5, 2100 København Ø
Date and time24.04.2023, at: 08:00 - 23.06.2023, at: 16:00
Regular seats60
ECTS credits7.50
Contact personNina Weisse    E-mail address: weisse@math.ku.dk
Enrolment Handling/Course OrganiserJan Philip Solovej    E-mail address: solovej@math.ku.dk
Written languageEnglish
Teaching languageEnglish
Semester/BlockBlock 4
Scheme groupC
Exam requirementsThe student must in a satisfactory way demonstrate that he/she has mastered the learning outcome of the course
Exam formCourse participation
Exam detailsOne seminar presentation and four written assignements. The student must pass all assignments and the seminar. Censorship form: One internal examiner
Grading scalePassed / Not passed
Exam re-examination30 minutes oral examination with 30 minutes preparation time. All aids allowed during the preparation time, no aids allowed during the examination. Several internal examiners
Course workload
Course workload categoryHours
Exercises18.00
Preparation152.00
Lectures36.00
Sum206.00
Content
Selected topics in Quantum Mechanics and Statistical Mechanics. Besides fundamental issues the course will focus on more specialized topics depending on the interests and preferences of the participants. Among these topics may be a selection from the following list: spectral theory for unbounded operators, the Schrödinger equation and Stone's theorem, perturbation theory, scattering theory, stability of matter; if time permits many-body systems or statistical mechanics.

Learning outcome
Knowledge:
- Basic concepts and methods used int the mathematical description of quantum systems and/or statistical mechanics.
- Explicit mathematical models of concrete physical systems in quantum and/or statstical mechanics

Competencies:
- To formulate, understand, and analyze mathematical models of physical systems.

Skills:
- To use advanced mathematical tools to  extract relevant physical information from well-defined models
- To do explicit calculations within the framework of advanced mathematical models

Teaching and learning methods
4 hours of lectures and 2 hours of exercises each week for 9 weeks.

Remarks
- no other physics background needed
- accessible also to students of physics

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