On a continuum limit of discrete Schrödinger operators on square lattice

Abstract

The norm resolvent convergence of discrete Schrödinger operators to a continuum Schrödinger operator in the continuum limit is proved under relatively weak assumptions. This result implies, in particular, the convergence of the spectrum with respect to the Hausdorff distance.

References in corpus (1)

• Strong Convergence for Discrete Nonlinear Schrödinger equations in the Continuum Limit

Cited by in corpus (2)

• Continuum limit for lattice Schrödinger operators
• Norm resolvent convergence of discretized Fourier multipliers