Derivation in Strong Topology and Global Well-Posedness of Solutions to the Gross-Pitaevskii Hierarchy
Derivation in Strong Topology and Global Well-Posedness of Solutions to the Gross-Pitaevskii Hierarchy
We derive the cubic defocusing GP hierarchy in ℝ3 from a bosonic N-particle Schrödinger equation as N → ∞, in the strong topology corresponding to the space of sequences of marginal density matrices. In particular, we thereby eliminate the requirement of regularity for the initial data used in previous work. …