On the strong local potential limit

Abstract

Finite, bound, many-body systems, where the interaction operator, [Formula: see text], is local and happens to strongly dominate the kinetic energy operator, [Formula: see text], display a classical limit from diagonalizing [Formula: see text] alone, hence a clear picture of interparticle correlations, such as steric blocking emerges. This limit exhibits intrinsic symmetries and also fluctuations from mass formulae. This work investigates how such emergent symmetries and fluctuations might be extrapolated to physical situations where [Formula: see text] is reinstated.