Scattering theory
Contact:
Serge Richard (richard@math.nagoyau.ac.jp), 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,
lect. 8
4) Scattering theory: stationary expressions
lect. 8.5,
lect. 9,
lect. 10,
lect. 11
5) Schroedinger operators
lect. 12,
lect. 13,
lect. 14,
lect. 15

The cumulative notes taken by H. Inoue and N. Tsuzu, with table of content :
Scattering theory

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, 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.
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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