MINI-SCHOOL 2017
- Date: 09-11 January 2017
- Location: Université Pierre et Marie Curie (UPMC), Jussieu campus, 4 place Jussieu, 75005, Paris.
Laboratoire Jacques-Louis Lions, corridor 15-16, 3rd floor, room 309
- Lecturers: Eric Cancès and Trygve Helgaker
- Organizers: Michel Caffarel, Eric Cancès, Emmanuel Fromager, Julien Toulouse.
- Participants: List of registered people
Presentation
- The lectures delivered are intended to be of interest to any person working in the field of electronic structure theory and willing to discover or deepen the mathematical aspects of the methods. PhD students, post-docs or 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 workshop will thus involve only two lecturers over a three-day period.
Program
Two lectures will be proposed:
- 1) Operator theory for electronic structure calculation by Eric CANCES, Ecole des Ponts and INRIA, Paris, France
Indicative program (subject to changes and extension):
- Hilbert spaces
- Linear operators on Hilbert spaces
- Self-adjointness
- Spectra of self-adjoint operators: point vs continuous spectrum, discrete vs essential spectrum
- Some examples in quantum chemistry: N-body Schödinger equation, Hartree-Fock and Kohn-Sham hamiltonians
- Some examples in solid state physics: Bloch theory, periodic Kohn-Sham hamiltonians
- 2) Fundamentals of DFT (tentative title) by Trygve HELGAKER Centre for Theoretical and Computational Chemistry, Department of Chemistry, University of Oslo, Norway
Indicative program (subject to changes and extension):
- Hohenberg–Kohn theory (Hohenberg–Kohn theorem and concavity, Lieb variation principles, v-representable densities, etc.)
- Levy–Lieb constrained-search theory, N-representable densities, the Levy–Lieb constrained-search functional, etc
- Lieb convex-conjugate theory, convex functions and convex conjugation, the Lieb convex-conjugate functional, etc
- Discontinuity and nondifferentiability of the universal functional conditions, etc.
- and much more.
Schedule
| Monday 9 January
Jussieu, tower 15-16, room 309 |
Tuesday 10 January
Jussieu, tower 15-16, room 309 |
Wednesday 11 January
Jussieu, tower 15-16, room 309 |
|---|---|---|
| 8:45-9:00 Arrivals | ||
| 9:00-10:30 Trygve Helgaker 1 | 9:00-10:30 Eric Cancès 1 | 9:00-10:30 Trygve Helgaker |
| 10:30-10:45 Coffee break | 10:30-10:45 Coffee break | 10:30-10:45 Coffee break |
| 10:45-12:15 Trygve Helgaker 2 | 10:45-12:15 Trygve Helgaker 3 | 10:45-12:15 Trygve Helgaker |
| 12:15-14:15 Lunch at L'Ardoise (Tower 25) | 12:15-14:15 Lunch at L'Ardoise (Tower 25) | 12:15-14:15 Lunch at L'Ardoise (Tower 25) |
| 14:00-15:30 Eric Cancès | 14:00-15:30 Eric Cancès | 14:00-15:30 Trygve Helgaker 6 |
| 15:30-15:45 Coffee break | 15:30-15:45 Coffee break | 15:30-15:45 Coffee break |
| 15:45-17:15 Eric Cancès | 15:45-17:15 Eric Cancès | 15:45-17:15 Eric Cancès |
Practical details
- IMPORTANT: To facilitate the participation of young researchers, no registration fees will be asked and housing in student-type accomodation will be offered.
