On the Inverse Spectral Problem for the Quasi-Periodic Schrödinger Equation

David Damanik, Michael Goldstein

We study the quasi-periodic Schrödinger equation $$ -ψ"(x) + V(x) ψ(x) = E ψ(x), \qquad x \in \IR $$ in the regime of "small" $V$. Let $(E_m^{\prime },E{"}_m)$, $m \in \zv$, be the standard l…