3 problems

Let $N$ particles be described by fully correlated Laughlin-type states, and let $V$ be an external one-body potential. Consider also simpler states obtained from the Laughlin stat…

Recursive edge-excitation conjecture. There is a well-defined operator $P_\ell$ that increases the angular momentum $L$ by $\ell$ units while conserving particle number, such that

Let $m$ be the Laughlin parameter, and let $\xi,\xi'$ be fixed complex quasi-hole positions. For the normalized one- and two-quasi-hole wave functions, write $N(\xi,\xi^*)$ and…