Hilbert space methods for quantum mechanics
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 13, 20, 27
May 11, 18, 25
June 1, 8, 15, 22, 29
July 6, 13, 20

References : (electronic version available upon request)
[Amr] W. Amrein, Hilbert space methods in quantum mechanics, Fundamental Sciences. EPFL Press, Lausanne 2009.
[ABG] W. Amrein, A. Boutet de Monvel, V. Georgescu, Cogroups, commutator methods and spectral theory of Nbody
Hamiltonians Birkhäuser, Basel, 1996.
[BW] H. Baumgartel, M. Wollenberg, Mathematical scattering theory,
Birkhäuser verlag, Basel, 1983.
[BDG] L. Bruneau, J. Derezinski, and V. Georgescu, Homogeneous Schroedinger operators on halfline,
Ann. Henri Poincare 12 no. 3 (2011), 547  590.
[DR] J. Derezinski, and S. Richard, On almost homogeneous Schroedinger operators, Preprint arXiv:1604.03340.
[Hal] B. Hall, Quantum theory for mathematicians, Graduate Texts in Mathematics 267. Springer, New York, 2013.
[Kat] T. Kato, Perturbation theory for linear operators, Classics in mathematics, Springer, 1995.
[Mur] G.J. Murphy, C*algebras and operator theory Academic Press, Inc., Boston, MA, 1990.
[Ped] G. Pedersen, Analysis now Graduate texts in mathematics 118, Springer, 1989.
[RS3] M. Reed and B. Simon, Methods of modern mathematical physics III: scattering theory, Academic Press, Inc., 1979.
[RS4] M. Reed and B. Simon, Methods of modern mathematical physics IV: analysis of operators, Academic Press, Inc., 1978.
[Ric] S. Richard, Levinson's theorem: an index theorem in scattering theory, in Operator Theory Advances and Applications
254, 149 – 203, Birkhäuser, 2016.
[Tes] G. Teschl, Mathematical methods in quantum mechanics, with applications to Schrödinger operators,
Graduate Studies in Mathematics 99. American Mathematical Society, Providence, RI, 2009.
[Yaf] D.R. Yafaev, Mathematical scattering theory. General theory,
Translations of Mathematical Monographs 105, American Mathematical Society, Providence,
RI, 1992.
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