University of Helsinki Department of Mathematics and Statistics
Faculty of Science
Faculty of Social Sciences
  
Departmental front page News Research Studies People

Scattering theory, spring 2008

Lecturer

Prof. Lassi Päivärinta

Lectures

Periods III and IV on Wednesdays 12:00-14:00, room B322. The first lecture is on 16th Jan. The course continues from the fall semester.

No lecture on March 5th (lecture break).

Contents

The course will be based on the book of L. Hörmander, Analysis of Linear Partial Differential Operators II, Chapter XIV (Scattering theory). Scattering theory may be understood as spectral theory for Schrödinger operators. The course will begin with an introduction to spectral theory for unbounded self-adjoint operators. The prerequisites are Real analysis 1, Functional analysis and rudiments of Fourier analysis and distribution theory. The course may be taken for credit (5 opintopiste per semester) by doing exercises.

Course notes

The course notes will be posted here in pdf form.

Lectures 1 and 2 (Wed 12.09.2007 and Wed 19.09.2007)
Lecture 3 (Wed 26.09.2007)
Lecture 4 (Wed 03.10.2007)
Lectures 5, 6, 7 (Wed 10.10.2007, Wed 17.10.2007, Wed 07.11.2007)
Lecture 8 (Wed 14.11.2007)
Lectures 9 and 10 (Wed 21.11.2007 and Wed 28.11.2007)

Lecture 11 (Wed 16.01.2008)
Lecture 12 (Wed 30.01.2008)
Lecture 13 (Wed 06.02.2008)
Lectures 14 and 15 (Wed 13.02.2008 and Wed 20.02.2008)
Lecture 16 (Wed 27.02.2008)
Lecture 17
Lecture 18
Lecture 19
Lecture 20

Exercises

The exercises will be here in pdf form. They should be returned by Friday the following week to Mikko Salo by email, to the box in the mail room C334, or at the office B414. For questions or hints please contact Mikko.

Exercises 1 (14.09.2007, return by 21.09.2007)
Exercises 2 (21.09.2007, return by 28.09.2007)
Exercises 3 (28.09.2007, return by 05.10.2007)
Exercises 4 (05.10.2007, return by 12.10.2007)
Exercises 5 (12.10.2007, return by 19.10.2007)
Exercises 6 (29.10.2007, return by 09.11.2007)
Exercises 7 (09.11.2007, return by 16.11.2007)
Exercises 8 (16.11.2007, return by 23.11.2007)
No exercises due on 30.11.2007.
Exercises 9 (03.12.2007, return by 10.12.2007)

Solutions

Solutions to Exercises 1 (21.09.2007)
Solutions to Exercises 2 (28.09.2007)
Solutions to Exercises 3 (05.10.2007)
Solutions to Exercises 4 (12.10.2007)
Solutions to Exercises 5 (19.10.2007)
Solutions to Exercises 6 (09.11.2007)
Solutions to Exercises 7 (16.11.2007)
Solutions to Exercises 9 (10.12.2007)