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SUMMARY:New results on spectra of multi-particle Schrödinger operators wi
 th random potentials. - Yuri Suhov (Cambridge)
DTSTART:20110301T163000Z
DTEND:20110301T173000Z
UID:TALK28864@talks.cam.ac.uk
CONTACT:Berestycki
DESCRIPTION:Random Schrödinger operators are popular in solid-state quant
 um physics because they provide accurate mathematical models for transitio
 nal phenomena occurring at the border between ordered and disordered syste
 ms (localisation {\\it vs} delocalisation of eigenstates). Mathematically\
 , the problem is to analyse properties of the spectrum of such an operator
 : this presents a challenge since new ideas and methods are required\, com
 bining Probability\, Functional Analysis and -- occasionally -- other math
 ematical disciplines.\n\nIn this talk\, I'll discuss new results on multi-
 particle random Schr\\"odinger operators in a Euclidean space (joint works
  with several colleagues completed in 2010). The main result is that when 
 the randomness is `strong'\, the spectrum near its lower edge is pure poin
 t with probability one and the corresponding eigenfunctions are exponentia
 lly localised.\nNo preliminary knowledge of Quantum Mechanics will be assu
 med. 
LOCATION:MR12\, CMS\, Wilberforce Road\, Cambridge\, CB3 0WB
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