Scattering theory for unitary operators

Contact:
Serge Richard (richard@math.nagoya-u.ac.jp), Rm. 247 in Sci. Bldg. A

• Syllabus : here

• Schedule : Wednesday 8.45 - 10.15 in room 309 of the math building
  

• Class dates :
  April 16, 23, 30
  May 7, 14, 21, 28
  June 4, 11, 18, 25
  July 2, 9, 16
  

• Program :
  1) Hilbert space and linear operators
  2) Spectral theory
  3) Scattering theory: time dependent approach
  4) Scattering theory: time independent approach
  5) Scattering theory: stationary expressions

• For the evaluation, you need to submit the solutions of some exercises and/or the proofs of some statements. These submissions can take place at any time during the semester. If you have any question, contact me.

• Works submitted by students :
  

• References : (electronic version available upon request)
  W. Amrein, Hilbert space methods in quantum mechanics, EPFL press, 2009.
  W. Amrein, Non-relativistic Quantum dynamics, Reidel Publishing Company, 1981.
  W. Amrein, A. Boutet de Monvel, V. Georgescu, Co-groups, commutator methods and spectral theory of N-body Hamiltonians, Birkhauser, 1996.
  H. Baumgartel, M. Wollenberg, Mathematical scattering theory, Birkhauser, 1983.
  T. Kato, Perturbation theory for linear operators, Springer, 1995.
  T. Kato, S.T. Kuroda, Theory of simple scattering and eigenfunction expansions, Functional Analysis and Related Fields (Proc. Conf. for M. Stone, Univ. Chicago, Chicago, Ill., 1968) pp. 99-131. Springer, New York, 1970.
  G. Murpy, C*-algebras and operator theory, Academic Press, 1990.
  J. Weidmann, Linear operators in Hilbert spaces, Springer, 1980.
  D. Yafaev, Mathematical scattering theory: general theory, AMS, 1992.
  D. Yafaev, Mathematical scattering theory: analytic theory, AMS, 2010.