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NCTS PDE & Analysis Seminar
 
14:20 - 15:10, June 4, 2018 (Monday)
Room 201, Astronomy-Mathematics Building, NTU
(台灣大學天文數學館 201室)
Inverse Problems Arising from Bose-Einstein Condensates and Related Applications
Ru-Yu Lai (University of Minnesota)

Abstract:

Bose-Einstein condensate (BEC) is one of the most familiar examples of a condensed matter and is a state of matter in which supercooled atoms condense into the lowest quantum state.  In this talk, I will discuss the unique determination of the background potential in BECs and its associated reconstruction formula from the travel information of vortices at the boundary. Moreover, the fractional Schrodinger equation (FSE) has been proposed to study BEC of which the particles obey a non-Gaussian distribution. I will address the study of the inverse problem for FSE.


 

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