QC/NP workshop 2021

• Date: 8-12 February 2021 afternoons

• Where: Online

• Organizers: Michel Caffarel, Eric Cancès, Emmanuel Fromager, Emmanuel Giner, Pierre-François Loos, Julien Toulouse. email contact

• List of registered participants

Presentation

• The lectures delivered are intended to be of interest to any person working in the field of theoretical chemistry and physics and willing to discover or deepen the mathematical aspects of the theoretical methods. Master and PhD students, post-docs and any academic are welcome!

• To provide a detailed presentation of subjects, we have chosen to give a good amount of time to each lecturer. The mini-school will thus involve only two lecturers over a three-day period.

Program

Two courses will be proposed:

• 1) Complex analysis (9 hours) by Antoine Levitt, INRIA and Ecole des Ponts, Paris, France.

Indicative program (subject to changes and extension):
- Complex numbers
- Holomorphic functions, elliptic functions. Applications to electrostatics and fluid mechanics
- Power series, analytic continuation, poles and branches
- Contour integrals, functional calculus. Application to finite temperature perturbation theory
- Fourier and Laplace transforms of causal functions, the "i0+ trick", Kramers Kronig relations
- Paley Wiener theory. Application to Fourier and Chebyshev approximation, and decay of the density matrix

Download lecture notes

• 2) Perturbation theory, summation theory, and PT-symmetric quantum theory (9 hours) by Carl Bender, Washington University in St. Louis, USA

Indicative program (subject to changes and extension):
- Introduction to perturbation theory and methods
- Asymptotic series
- WKB analysis and eigenvalue problems
- Summation theory
- PT-symmetric quantum theory
- Classical PT symmetry

Download slides lecture 1 lecture 2 lecture 3

Schedule

• Monday 8 February

Monday 8 February	Tuesday 9 February	Wednesday 10 February	Thursday 11 February	Friday 12 February
2:00pm-3:30pm Speaker	2:00-3:30pm Speaker	2:00-3:30pm Speaker	2:00-3:30pm Speaker	2:00-3:30pm Speaker
10:30-10:45 Coffee break	10:30-10:45 Coffee break	10:30-10:45 Coffee break
10:45-12:15 Carl Bender 2	10:45-12:15 Carl Bender 4	10:45-12:15 Carl Bender 6
12:15-14:00 Lunch at L'Ardoise (Tower 25)	12:15-14:00 Lunch at L'Ardoise (Tower 25)	12:15-14:00 Lunch at L'Ardoise (Tower 25)
Wednesday 19 June Afternoon Tower 15-16, room 309	Thursday 20 June Afternoon Tower 15-16, room 309	Friday 21 June Afternoon Tower 15-25, room 102
14:00-15:30 Antoine Levitt 1	14:00-15:30 Antoine Levitt 3	14:00-15:30 Antoine Levitt 5
15:30-15:45 Coffee break	15:30-15:45 Coffee break	15:30-15:45 Coffee break
15:45-17:15 Antoine Levitt 2	15:45-17:15 Antoine Levitt 4	15:45-17:15 Antoine Levitt 6

Practical details

Registration

Registration is closed.

To facilitate the participation of young researchers, no registration fees will be asked. However, accommodation will not be provided but must be arranged independently by the participants.

Location of the mini-school

The mini-school will take place on the Pierre et Marie Curie (or Jussieu) campus of Sorbonne Université, 4 place Jussieu, 75005 Paris.

Subway (Metro) lines 7 or 10: get off at "Jussieu" station.

From the main entrance of the campus, go to Tower 16. Take the stairs or the elevator to the third level. Find corridor 15-16, and then the room 309. This is the seminar room of Laboratoire Jacques-Louis Lions.
Warning: on the last afternoon, we will change room: Tower 15-25, room 102