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SUMMARY:Magnetic wells in dimension two and three - Helffer\, H (Universit
  Paris-Sud 11)
DTSTART:20150506T123000Z
DTEND:20150506T133000Z
UID:TALK59393@talks.cam.ac.uk
CONTACT:42080
DESCRIPTION:this talks deals with semiclassical asymptotics of the two-  o
 r three-dimensional magnetic Laplacians in presence of magnetic  confineme
 nt. Using generic assumptions on the geometry of the  confinement\, we exh
 ibit semiclassical scales and their corresponding  effective quantum Hamil
 tonians\, by means of microlocal normal forms  	extit{`a la Birkhoff} or G
 rushin's problems.  As a consequence\,  when the magnetic field admits a u
 nique and non degenerate minimum\,  we are able to reduce the spectral ana
 lysis of the low-lying  eigenvalues to a one-dimensional $hbar$-pseudo-dif
 ferential  operators.\n
LOCATION:Seminar Room 2\, Newton Institute Gatehouse
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