Scattering theory for unitary operators
Contact:
Serge Richard (richard@math.nagoyau.ac.jp), Rm. 247 in Sci. Bldg. A

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

Class dates :
April 12, 19, 26
May 10, 17, 24, 31
June 7, 14, 21, 28
July 5, 12, 19

Program :
0) Motivation
1) Hilbert space and linear operators
2) Spectral theory for unitary operators
3) Scattering theory
4) Scattering operator

Lecture notes : available upon request by email

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.

References : (electronic version available upon request)
W. Amrein, Hilbert space methods in quantum mechanics, EPFL press, 2009.
W. Amrein, Nonrelativistic Quantum dynamics, Reidel Publishing Company, 1981.
W. Amrein, A. Boutet de Monvel, V. Georgescu, Cogroups, commutator methods and spectral theory of Nbody 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. 99131. 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.
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