Asymptotic completeness for short-range N-body systems revisited

2024/10/31 by Skibsted, Erik
#FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Spectral Theory (math.SP)

paper · doi:10.48550/arxiv.2410.24078

Abstract

We review Yafaev's approach to asymptotic completeness for systems of particles mutually interacting with short-range potentials. The theory is based on computation of commutators with time-independent (mostly bounded) observables yielding a sufficient supply of Kato smoothness bounds.

Related

• The three-quasi-particle scattering problem: asymptotic completeness for short-range systems
• Stationary completeness: the N-body short-range case
• Asymptotics of k-nearest neighbor Riesz energies
• Convergence to equilibrium for many particle systems
• Asymptotic properties of short-range interaction functionals