Quantum Systems: A Mathematical Journey from Few to Many Particles

Bose-Einstein condensation: Bound states with periodic microstructure

Dionisios Margetis

University of Maryland


This talk formally addresses the issue of quantum bound states in a dilute gas of interacting Bosons with spatially varying scattering length. There are two related questions to be discussed. (i) What is a plausible modeling of pair correlations, beyond the Gross-Pitaevskii limit? (ii) What is the effective, homogenized description of the gas for a scattering length with periodic microstructure?