SEMINAR @ SISSSA, prof. Graffi 07/02/07 02.30 p.m. room B

[Barbara Corzani]

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FUNCTIONAL ANALYSIS SECTOR'S ACTIVITIES
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SEMINAR 

Prof. 
Sandro Graffi
(Univ. di Bologna)


Title:
"Convergence of the Schroedinger dynamics to the Hartree equations as the number of particles tends to infinity, with uniform estimates  with respect to the Planck constant."

Wed.   7 February 2007  @  02.30 p.m.

SISSA - Main Building - ground floor - room B

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Abstract:

After a short review on why the increasing number of degrees of  freedom makes possible to approximate many-body quantum mechanics, an  intrinsically linear evolution, with a nonlinear single-body equation,
the proof is sketched of a new method for deriving the nonlinear  Hartree equation form the mean field limit
$N\to\infty$ for a system of $N$ bosons which allows us to obtain  convergence estimates uniform with respect to the Planck constant.