Kursussøgning, efter- og videreuddannelse – Københavns Universitet

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Kursussøgning, efter- og videreuddannelse

Advanced Mathematical Physis (AdvMathPhys)

Practical information
Study year 2016/2017
Time
Block 4
Programme level Ph.D.
ECTS 7,5 ECTS
Course responsibles
  • Niels Patriz Benedikter (16-536e6a717833676a736a696e70796a77457266796d33707a336970)
  • Fabian Daniel Portmann (6-6964656c6471437064776b316e7831676e)
  • Department of Mathematical Sciences
Course number: NSCPHD1079

Course 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

 

 

 

 

Recommended prerequisites

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Education

PhD programme in Mathematics

Studyboard

Natural Sciences PhD Committee

Course type

Single subject courses (day)

Teacher

Niels Benedikter and Jeremy Sok

Duration

1 block

Schedulegroup

B
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Teaching and learning methods

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

Capacity

No limit

Language

English

Workload

Category Hours
Lectures 36
Exercises 18
Seminar 2
Preparation 150
English 206

Exam

Type of assessment

Course participation
One seminar presentation and four written assignements. The student must pass all assignments and the seminar

Marking scale

passed/not passed

Criteria for exam assessment

The student must in a satisfactory way demonstrate that he/she has mastered the learning outcome of the course.

Censorship form

No external censorship
One internal examiner

Re-exam

30 minutes oral examination with 30 minutes preparation time. All aids allowed during the preparation time, no aids allowed during the examination. Several internal examiners.

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