Discretizations of the Schrödinger equation with quantum algebra symmetry

Abstract

Two quantum Hopf structures for the Schrödinger algebra as well as their corresponding differential-difference realizations are presented. For each case a (space or time) discretization of the Schrödinger equation is deduced and the quantum Schrödinger generators are shown to be symmetry operators.

Communication presented in the 5th Wigner Symposium, Vienna, 1997; 4 pages, LaTeX