Two dimensional delta Bose gas in a weighted space

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 $L^2$ 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

References in corpus (6)

• Multiparticle Schrodinger operators with point interactions in the plane
• Moments of the 2D SHE at criticality
• The critical 2d Stochastic Heat Flow is not a Gaussian Multiplicative Chaos
• From Short-Range to Contact Interactions in the 1d Bose Gas
• From Short-Range to Contact Interactions in Two-dimensional Many-Body Quantum Systems
• Moments of the 2d directed polymer in the subcritical regime and a generalisation of the Erdös-Taylor theorem