Threshold scattering for the focusing NLS with a repulsive Dirac delta potential

2022 ◽  
Vol 313 ◽  
pp. 54-84
Author(s):  
Alex H. Ardila ◽  
Takahisa Inui
Keyword(s):  
Dirac Delta ◽  
Delta Potential ◽  
Dirac Delta Potential

scholarly journals Revisiting double Dirac delta potential

2016 ◽  
Vol 37 (4) ◽  
pp. 045406 ◽  
Author(s):  
Zafar Ahmed ◽  
Sachin Kumar ◽  
Mayank Sharma ◽  
Vibhu Sharma
Keyword(s):  
Dirac Delta ◽  
Delta Potential ◽  
Dirac Delta Potential

Convergence of Brownian motion with a scaled Dirac delta potential

2012 ◽  
Vol 55 (2) ◽  
pp. 403-427 ◽  
Author(s):  
Florian Conrad ◽  
Martin Grothaus ◽  
Janna Lierl ◽  
Olaf Wittich
Keyword(s):  
Brownian Motion ◽  
Dirichlet Form ◽  
Scaling Limits ◽  
Brownian Motions ◽  
Dirac Delta ◽  
Infinite Dimensional ◽  
Delta Potential ◽  
Dirac Delta Potential

AbstractThe method of deriving scaling limits using Dirichlet-form techniques has already been successfully applied to a number of infinite-dimensional problems. However, extracting the key tools from these papers is a rather difficult task for non-experts. This paper meets the need for a simple presentation of the method by applying it to a basic example, namely the convergence of Brownian motions with potentials given by n multiplied by the Dirac delta at 0 to Brownian motion with absorption at 0.

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