paper

Two dimensional delta Bose gas in a weighted space

arXiv:2410.16550 · doi:10.1214/25-ECP685

Abstract

We extend the construction of the semigroup of the two-dimensional delta-Bose gas in Gu, Quastel, and Tsai (2021) (based on Rajeev (1999) and Dimock and Rajeev (2004)) to a weighted space that allows exponentially growing functions. We further show that the semigroup of the mollified delta-Bose gas converges strongly to that of the delta-Bose gas.

10 pages

Two dimensional delta Bose gas in a weighted space · wovepaper