Modern Topics in Quantum Mechanics
Time/place:
Lecture (
eKVV
): Wed 10:15-12:00 (online)
Tutorials
(
eKVV
): Wed 9:15-10:00 (online)
→
link to the Zoom meeting room
(meeting ID: 914 7926 9843; password sent by email)
Instructor:
Nicolas Borghini
(borghini at physik dot uni-bielefeld dot de)
E6
-123
Oral exam, registration at the end of the semester
Homepage:
http://www.physik.uni-bielefeld.de/~borghini/Teaching/QMplus/
News:
none
Prerequisites:
Basic knowledge in Quantum Mechanics! (
short reminder
)
Literature:
* your favorite QM textbook in case you need a reminder
* M. Le Bellac,
Quantum Physics
* L.E. Ballentine,
Quantum Mechanics
* D. Griffiths,
Quantum Mechanics
* S. Weinberg,
Lectures on Quantum Mechanics
Content:
Adiabatic approximation for time-dependent problems
(
summary slides
)
April 21
Adiabatic theorem
April 28
Berry phase
→ see also
The geometric phase
by Michael Berry
Quantum Mechanics in phase space
(
summary slides
)
May 5
Wigner distribution: definition and first examples
May 12
Wigner distribution: Wigner transform of an operator; evolution equation
May 19
Wigner distribution: generalizations; Husimi distribution
Quantum Dissipation
(
summary slides
(July 7 update)
)
→ the whole notes for the 8 lectures in
a single file
(version of July 19, 2021)
May 26
Two phenomenological models
June 2
System-environment model; master equation for the reduced statistical operator
June 9
Example: damped quantum harmonic oscillator
June 16
Superoperators; Kraus representation
June 23
Lindblad master equation
June 30
Lindblad master equation: example; case of Hermitian jump operators
July 7
Monte-Carlo wave function
July 14
Feynman-Vernon influence functional
→
short primer on the path integral
;
Feynman's 1948 article on the topic
July 21
Wrap-up
Links:
Geometric phases and the separation of the world
by Michael Berry
An application of the adiabatic theorem:
Theory of Quantum Annealing
by Hidetoshi Nishimori