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.

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