|Lecturer||Serge RICHARD, Professor|
|Department||Graduate School of Mathematics, 2016 Spring|
|Recommended for:||Graduate school of Mathematics|
This course will provide an overview of some classical tools of functional analysis which have been partially developed for quantum mechanics. In particular, an introduction to spectral and scattering theory will be presented. These theories have deep connection with other branches of mathematics, like PDE, operator algebras or dynamical systems. Some up-to-date tools of spectral theory will also be introduced, as for example commutator methods for spectral theory. In order to provide a large panorama on the subject together with applications, some details might be omitted, but references for all proofs will be provided.
The two main references for this course will be
Hilbert space, self-adjoint operators, spectral and scattering theory, commutator methods.
Knowledge on standard undergraduate functional analysis.
This course is open for any students at Nagoya University as one of the “open subjects” of general education.
Grades based on attendance, a written report, or an examination.
full document (100 pages)
December 23, 2019