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UID:e3fb15acf89cfeb22e73bb84b24b69b4
CATEGORIES:Mathematical Physics Seminar
CREATED:20220323T115821
SUMMARY:Asymptotic Expansions for Weakly Interacting Bosons
LOCATION:Hill Center Room 705
DESCRIPTION:<p>I will give a summary of recent results on asymptotic expansions for non
 -relativistic bosons in the mean-field limit. These expansions are around B
 ogoliubov theory and provide approximations for the Bose gas to any order i
 n the small parameter N^(-1/2), where N is the number of particles. The exp
 ansions were proven for both the dynamics, and the low-lying energies and e
 igenstates for particles with pair interaction. We have proven an additiona
 l result for the dynamics of bosons that are coupled linearly to a Nelson-t
 ype quantum field. The talk will in particular emphasize the explicit natur
 e of the expansion, i.e., how the expansion can be used to compute physical
  quantities such as reduced densities or correlation functions, in a way th
 at is independent of the particle number N. This is joint work with Lea Bos
 smann, Marco Falconi, Nikolai Leopold, David Mitrouskas, Peter Pickl, Rober
 t Seiringer, and Avy Soffer.</p>
CONTACT:Soeren Petrat - Jacobs University
DTSTAMP:20260829T215200
DTSTART;TZID=America/New_York:20220407T120000
DTEND;TZID=America/New_York:20220407T130000
SEQUENCE:0
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