2 problems

Let a quantum system have a classically chaotic counterpart, and choose a basis in which to express one of its energy eigenstates. Berry's conjecture. The energy eigenstate should…

Let $F_n$ be the free group on generators $u_1,\ldots,u_n$, and let $\lambda$ be real. A reduced $\lambda$-eigenstate for $u_1+\cdots+u_n-\lambda$ means a reduced state associated…