The mathematical analysis of Schrödinger operators centres on the rigorous study of the differential operator H=−Δ+V acting on functions over Euclidean space or more general manifolds. Spectral theory ...

The spectral analysis of Schrödinger operators on discrete lattices investigates how energy levels and wave functions distribute when quantum particles hop between lattice sites under the influence of ...

Computers are designed to carry out calculations. Mathematical operators allow arithmetic to be performed on values.