Course details
A specialist MAGIC course
Semester
- Spring 2021
- Monday, January 25th to Friday, March 19th; Monday, April 26th to Friday, May 7th
Hours
- Live lecture hours
- 10
- Recorded lecture hours
- 0
- Total advised study hours
- 40
Timetable
- Fridays
- 13:05 - 13:55 (UK)
Description
The aim of this module is to extend knowledge of quantum mechanics from undergraduate courses by emphasizing its overall mathematical structure, as well as its applications to a wide range of topics in mathematical physics.
We will introduce an abstract framework for quantum theory, based on tools from the theory of operator algebras, which is general enough to describe all its subareas: quantum mechanics, quantum statistical mechanics (including thermodynamics in infinite volume), quantum field theory on Minkowski space and on curved spacetimes, as well as including classical probability theory as a special case.
We will introduce an abstract framework for quantum theory, based on tools from the theory of operator algebras, which is general enough to describe all its subareas: quantum mechanics, quantum statistical mechanics (including thermodynamics in infinite volume), quantum field theory on Minkowski space and on curved spacetimes, as well as including classical probability theory as a special case.
Prerequisites
Students should have attended either a first course in quantum mechanics, or have some knowledge of operator theory (on infinite dimensional Hilbert spaces); ideally both, but participants with experience in either area are welcome.
For some lectures, familiarity with other topics in Theoretical/Mathematical Physics will be helpful, such as Genera Relativity / differential geometry.
Syllabus
The presentation style is expository, i.e., each lecture will give an overview of a subject area, rather than working out the technical details.
A tentative list of topics is:
A tentative list of topics is:
- Probability theory
- Basics of quantum theory
- Algebras, states, GNS representation
- Thermodynamics and the KMS condition
- Free quantum fields on Minkowski space
- Linear quantum fields on curved spacetimes
- Frameworks for interacting quantum field theories
Lecturer
-
HB
Dr Henning Bostelmann
- University
- University of York
Bibliography
No bibliography has been specified for this course.
Assessment
The assessment for this course will be released on Monday 10th May 2021 at 00:00 and is due in before Monday 24th May 2021 at 11:00.
The course will be assessed by a single take-home exam. You will need to achieve 50% to pass.
Please note that you are not registered for assessment on this course.
Files
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Lectures
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