Serge Richard (email@example.com), Rm. 237 in Sci. Bldg. A
Schedule : Wednesday 8.45 - 10.15 in room 309 of the math building
Class dates :
April 11, 18, 25
May 2, 9, 16, 23, 30
June 6, 13, 20, 27
July 4, 11, 18
Program and notes taken by H. Inoue and N. Tsuzu :
1) Hilbert space and linear operators
lect. 1, lect. 2
2) Scattering theory: time dependent approach
lect. 2.5, lect. 3,
lect. 4, lect. 5
3) Scattering theory: time independent approach
lect. 6, lect. 7,
4) Scattering theory: stationary expressions
5) Schroedinger operators
The cumulative notes taken by H. Inoue and N. Tsuzu, with table of content :
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
or Hideki Inoue
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.
G. Murpy, C*-algebras and operator theory, Academic Press, 1990.
D. Yafaev, Mathematical scattering theory: general theory, AMS, 1992.
D. Yafaev, Mathematical scattering theory: analytic theory, AMS, 2010.
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