Modern Trends in Many-Body and Theoretical Physics
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FMF005F, 8 credits

Valid from: Autumn 2018
Decided by: Anders Gustafsson FTF-AGU
Date of establishment: 2019-05-26

General Information

Division: Mathematical Physics
Course type: Third-cycle course
Teaching language: English

Aim

This course will focus on the present state of many-body physics, giving a broad perspective on the status of the field through the analysis of literature of application of many-body theory to several physical systems.

Goals

Knowledge and Understanding

For a passing grade the doctoral student must

• Know and being able to explain the basic of the possible descriptions of many-body systems and the relation they have one another.
• Know the latest advancement in the field and understand their implications.
• Describe how the methods are related to experimental findings.
• Know the analogies and relations between different physical systems and understand how do they benefit from a particular description.
• Reflect on the different aspects of many-body systems.

Competences and Skills

For a passing grade the doctoral student must

• Independently acquire information from literature studies and present it in an adequate way.
• Critically discuss the differences between descriptions of many-body systems.
• Individuating the best methods and tools to describe a system.
• Presentation skills.

Course Contents

Many-body systems, such as nuclei, atoms, molecules, quantum dots...etc... can be described using several theoretical approaches. These are constantly advancing for improving the descriptions of these systems, discovering and explain new behaviour. This course will explore modern approaches to many-body quantum systems, including Self-bound systems. That is group studying present and recent advancement in Density Functional theory and related Projection techniques. Green functions approaches for many-body perturbations theory and beyond. Coupled Cluster and configuration interaction formalisms. The material will be novel literature paper in the different aspects of many-body physics, handed out at each lecture to study and in turn present for the next one.

Course Literature

Shavitt, I. & Bartlett, Rodney J.: Many-Body Methods in Chemistry and Physics MBPT and Coupled-Cluster Theory. Cambridge Molecular Science, 2009. ISBN 052181832X.

Instruction Details

Types of instruction: Seminars, self-study literature review, miscellaneous. The course will run during one academic year with seminars every second week. Each seminar is two hours, with presentation of novel paper selected from the literature, and group discussion.

Examination Details

Examination format: Seminars given by participants. Assessment is based on the presentations and the group discussions where understanding of the literature will be evaluated. Possible grades are Pass and Fail. For a passing grade, the regular attendance and active participation in the seminars and meetings are required. Attendance in at least 75% of the seminars is required. Each student must give a minimum of two presentations.
Grading scale: Failed, pass
Examiner:

Admission Details

Admission requirements: Enrolment in a PhD education in physics or applied mathematics.
Assumed prior knowledge: Basic knowledge of theory of many-body systems. Understanding of few of these methods: density functional theory, Green functions, Hartree-Fock, many-body perturbation theory, configuration interaction.

Course Occasion Information

Contact and Other Information

Course coordinators: