We discuss two types of trace formula which arise from the inverse spectral problem for discrete Schrödinger operators as L = —Δ + V(x) where V is a bounded potential. One is the relationship between a potential and spectral data, and another is the one between the green function of L and periodic orbits of a state space.
Cite this article
Tomoyuki Shirai, A Trace Formula for Discrete Schrödinger Operators. Publ. Res. Inst. Math. Sci. 34 (1998), no. 1, pp. 27–41DOI 10.2977/PRIMS/1195144826