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FSF3730 Integrable Systems 7.5 credits

Course offerings are missing for current or upcoming semesters.
Headings with content from the Course syllabus FSF3730 (Autumn 2009–) are denoted with an asterisk ( )

Content and learning outcomes

Course contents

The course covers

  • The Projection Method of Olshanetsky and Perelomov

  • Classical Integrability of the Calogero-Moser systems

  • Solution of a Quantum Mechanical N-Body Problem

  • Algebraic Approach to x^2 + α/x^2 Interactions

  • Some Hamiltonian Mechanics

  • The Classical Non-Periodic Toda Lattice

  • r-Matrices and Yang Baxter Equations

  • Integrable Systems and gl(∞)

  • Infinite Dimensional Toda Systems

  • Integrable Field Theories from Poisson Algebras

  • Generalized Garnier Systems and Membranes

  • Differential Lax Operators, Spectral Transform and Solitons

Intended learning outcomes

After passing the course the students will understand, and are able to apply, the theory of finite-dimensional Hamiltonian systems, the spectral transform and solitons, and relativistic minimal surfaces.

Literature and preparations

Specific prerequisites

A Master degree including at least 30 university credits (hp) in in Mathematics.

Recommended prerequisites

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Equipment

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Literature

Jens Hoppe: Lectures on Integrable Systems. Springer Lecture Notes in Physics m10 1992, ISBN: 978-3-540-55700-5 (Print), 978-3-540-47274-2 (Online)

Examination and completion

If the course is discontinued, students may request to be examined during the following two academic years.

Grading scale

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Examination

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Based on recommendation from KTH’s coordinator for disabilities, the examiner will decide how to adapt an examination for students with documented disability.

The examiner may apply another examination format when re-examining individual students.

Homework and an oral examination at the end of the course.

Other requirements for final grade

 Approved homework and examination.

Opportunity to complete the requirements via supplementary examination

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Opportunity to raise an approved grade via renewed examination

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Examiner

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Ethical approach

  • All members of a group are responsible for the group's work.
  • In any assessment, every student shall honestly disclose any help received and sources used.
  • In an oral assessment, every student shall be able to present and answer questions about the entire assignment and solution.

Further information

Course room in Canvas

Registered students find further information about the implementation of the course in the course room in Canvas. A link to the course room can be found under the tab Studies in the Personal menu at the start of the course.

Offered by

Main field of study

This course does not belong to any Main field of study.

Education cycle

Third cycle

Add-on studies

No information inserted

Postgraduate course

Postgraduate courses at SCI/Mathematics