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SUMMARY:Effective evolution equations from many body quantum dynamics - Dr
  Benjamin Schlein (DPMMS)
DTSTART:20090302T170000Z
DTEND:20090302T180000Z
UID:TALK17225@talks.cam.ac.uk
CONTACT:Professor Nicholas S. Manton
DESCRIPTION:Interesting systems in physics and chemistry are typically com
 posed by a huge number N of interacting particles. The time evolution of t
 hese systems is governed by partial differential equations in N coupled\nv
 ariables. Due to the huge number of degrees of freedom\, these equations a
 re completely inaccessible to any analytic or numerical tool. Fortunately\
 , it turns out that in several situations the dynamics of many body system
 s can be approximated by effective evolution equations. In this talk\, I a
 m going to present examples\nof quantum systems whose evolution can be des
 cribed by effective equations\, and I will discuss some of the mathematica
 l challenges connected with the derivation of these effective equations fr
 om first-principles quantum\ndynamics.\n
LOCATION:MR2\, Centre for Mathematical Sciences
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