Operators in Quantum Mechanics – Overview
About the lecture
Time and placeTue 16:00 to 18:00 c.t Theresienstr. 37 - A 348
We 12:00 to 14:00 c.t. Theresienstr. 39 - B 101
Slots for the oral exam
Thu, Aug 24, 10:00
Fri, Sep 22, 10:00
Please, sign up as soon a possible, but no later than 7 days before the respective date by sending an e-mail to firstname.lastname@example.org. If you have difficulties with he proposed dates, contact me asap.
The lecture consists of three main parts:
(I) The abstract motivation of quantum mechanics (C* algebras, GNS construction),
(II) Key elements of the theory of unbounded operators (spectral theorem, Stone theorem), and
(III) Scattering theory (Moeller operators, asymptotic completeness, multi-particle breakup).
Essential functional analysis will be introduced and selected topics will be treated in full mathematical rigor.
The course is intended for physicists with strong mathematical inclinations, but contact to the epistemological concepts of physics will be sought.
Keen interest in, and easiness with, mathematics, good knowledge of calculus and linear algebra; prior knowledge of functional analysis and measure theory will be helpful, but is not obligatory.
Crediting of the course (9 ECTS)
Verantwortlich für den Inhalt: Armin Scrinzi