Formulas of Szegő type for the periodic Schrödinger operator

Bernhard Pfirsch, Alexander V. Sobolev

We prove asymptotic formulas of Szegő type for the periodic Schrödinger operator $H=-\frac{d^2}{d{x}^2}+V$ in dimension one. Admitting fairly general functions $h$ with $h(0)=0$, we…