UVic Dynamics Seminar: Yu-Ting Chen

  • Date: 11/01/2022
Speaker(s):
Yu-Ting Chen, UVic
Location: 

University of Victoria

Topic: 

Schrödinger operators with delta potentials: a non-standard path integral representation in 2D

Description: 

Schrödinger operators with delta potentials are of longstanding interest for admitting solutions expressible in closed analytic forms. By some duality, these operators also receive new interest for solving moments of the continuum directed random polymers and the Kardar–Parisi–Zhang equation for interface growth.

 

Along with a review of the above background of up to 3D, this talk will discuss a Feynman–Kac-type path integral representation for a standard model of Schrödinger operator in 2D with delta potential. In particular, it will be explained why this representation falls outside the scope of standard Feynman–Kac formulas and is probabilistically of “two-minus dimensions” by construction and nature.

Other Information: 

Location: CLE A216