Jacob Shapiro

collaborators

2 papers

math-ph2026

Instantons in a Double-Well are Poisson Distributed

Jacob Shapiro

We give a rigorous realization of the dilute instanton picture for a semiclassical Schrödinger operator with a symmetric double-well potential on $R^{n}$ . Using a localized…

math-ph2025

The index of a pair of pure states and the interacting integer quantum Hall effect

We introduce the index $N (ω_{1}, ω_{2})$ of a pair of pure states on a unital C*-algebra, which is a generalization of the notion of the index of a pair of projections on a Hi…