On the strong local potential limit

TL;DR

This paper explores the classical limit of strongly interacting many-body systems dominated by local potential energy, analyzing how emergent symmetries and fluctuations persist when kinetic energy is reintroduced.

Contribution

It introduces a framework to understand how classical features from potential-dominated systems extend to more realistic scenarios including kinetic energy.

Findings

Classical limit characterized by potential dominance

Emergent symmetries observed in the potential limit

Fluctuations linked to mass formulae

Abstract

Finite, bound, many-body systems, where the interaction operator, $V=\sum v_{ij}$, is local and happens to strongly dominate the kinetic energy operator, $T=\sum t_i$, display a classical limit from diagonalizing $V$ alone, hence a clear picture of interparticle correlations, such as steric blocking emerges. This limit exhibits intrinsic symmetries and also fluctuations from mass formulae. The present work investigates how such emergent symmetries and fluctuations might be extrapolated to physical situations where $T$ is reinstated.