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Discretizations of the Schrödinger equation with quantum algebra symmetry

A. Ballesteros·F. J. Herranz·P. Parashar
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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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A. Ballesteros, F. J. Herranz, P. Parashar. 1997-11-03. Discretizations of the Schrödinger equation with quantum algebra symmetry. https://arxiv.org/abs/q-alg/9711003

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