On the Klainerman–Machedon conjecture for the quantum BBGKY hierarchy with self-interaction
On the Klainerman–Machedon conjecture for the quantum BBGKY hierarchy with self-interaction
We consider the 3D quantum BBGKY hierarchy which corresponds to the N -particle Schrödinger equation. We assume the pair interaction is N^{3\beta – 1} V (B^\beta) . For the interaction parameter \beta \in (0, 2/3) , we prove that, provided an energy bound holds for solutions to the BBKGY hierarchy, …