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Discretizations of the Schrödinger equation with quantum algebra symmetry

A. Ballesteros, F. J. Herranz, P. Parashar

q-algarXiv:q-alg/9711003

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.

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