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* '''Organizers:''' [http://qmcchem.ups-tlse.fr/index.php?title=Michel_Caffarel Michel Caffarel], [http://cermics.enpc.fr/~cances/ Eric Cancès], [http://quantique.u-strasbg.fr/doku.php?id=en:pageperso:ef:welcome Emmanuel Fromager], Emmanuel Giner, [http://www.irsamc.ups-tlse.fr/loos/index.html Pierre-François Loos], [http://www.lct.jussieu.fr/pagesperso/toulouse/ Julien Toulouse]. [mailto:minischool@lct.jussieu.fr  email contact]
 
* '''Organizers:''' [http://qmcchem.ups-tlse.fr/index.php?title=Michel_Caffarel Michel Caffarel], [http://cermics.enpc.fr/~cances/ Eric Cancès], [http://quantique.u-strasbg.fr/doku.php?id=en:pageperso:ef:welcome Emmanuel Fromager], Emmanuel Giner, [http://www.irsamc.ups-tlse.fr/loos/index.html Pierre-François Loos], [http://www.lct.jussieu.fr/pagesperso/toulouse/ Julien Toulouse]. [mailto:minischool@lct.jussieu.fr  email contact]
  
* '''[[MINI-SCHOOL 2019 List of registered participants|List of registered participants]]'''
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* '''[[QC/NP workshop 2021 List of registered participants|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 '''[http://antoine.levitt.fr/ Antoine Levitt]''', INRIA and Ecole des Ponts, Paris, France.
 
 
Indicative program (subject to changes and extension):<br>
 
- Complex numbers<br>
 
- Holomorphic functions, elliptic functions. Applications to electrostatics and fluid mechanics <br>
 
- Power series, analytic continuation, poles and branches<br>
 
- Contour integrals, functional calculus. Application to finite temperature perturbation theory<br>
 
- Fourier and Laplace transforms of causal functions, the "i0+ trick", Kramers Kronig relations <br>
 
- Paley Wiener theory. Application to Fourier and Chebyshev approximation, and decay of the density matrix
 
 
<font color="red">
 
'''Download [http://antoine.levitt.fr/complex_analysis.pdf lecture notes]'''
 
</font>
 
 
 
* 2) '''Perturbation theory, summation theory, and PT-symmetric quantum theory''' (9 hours) by '''[https://web.physics.wustl.edu/cmb/ Carl Bender]''', Washington University in St. Louis, USA
 
     
 
Indicative program (subject to changes and extension):<br>
 
- Introduction to perturbation theory and methods<br>
 
- Asymptotic series<br>
 
- WKB analysis and eigenvalue problems<br>
 
- Summation theory<br>
 
- PT-symmetric quantum theory<br>
 
- Classical PT symmetry
 
 
<font color="red">'''Download slides [http://www.lct.jussieu.fr/pagesperso/toulouse/bender_lecture1.pdf lecture 1] [http://www.lct.jussieu.fr/pagesperso/toulouse/bender_lecture2.pdf lecture 2] [http://www.lct.jussieu.fr/pagesperso/toulouse/bender_lecture3.pdf lecture 3]'''
 
</font>
 
 
<center>
 
[[Fichier:Levitt 2019.jpg|500px]] [[Fichier:Bender 2019.jpg|500px]]
 
</center>
 
  
 
== Schedule ==
 
== Schedule ==
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** 4:00pm-5:30pm''' Speaker
 
** 4:00pm-5:30pm''' Speaker
  
== Practical details ==
 
  
 
=== Registration ===
 
=== Registration ===
  
'''Registration is closed.'''
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To register, send an email to [mailto:toulouse@lct.jussieu.fr Julien Toulouse]
 
 
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 [http://www.sorbonne-universite.fr/ 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.<br>
 
<font color="red">'''Warning: on the last afternoon, we will change room: Tower 15-25, room 102'''</font>
 

Version du 12 décembre 2020 à 13:31

  • Date: 8-12 February 2021 afternoons
  • Where: Online


Schedule

  • Monday 8 February
    • 2:00pm-3:30pm Speaker
    • 4:00pm-5:30pm Speaker
  • Tuesday 9 February
    • 2:00pm-3:30pm Speaker
    • 4:00pm-5:30pm Speaker
  • Wednesday 10 February
    • 2:00pm-3:30pm Speaker
    • 4:00pm-5:30pm Speaker
  • Thursday 11 February
    • 2:00pm-3:30pm Speaker
    • 4:00pm-5:30pm Speaker
  • Friday 12 February
    • 2:00pm-3:30pm Speaker
    • 4:00pm-5:30pm Speaker


Registration

To register, send an email to Julien Toulouse