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arxiv: q-alg/9711003 · v1 · pith:CEARKQVKnew · submitted 1997-11-03 · q-alg · math.QA

Discretizations of the Schr\"odinger equation with quantum algebra symmetry

classification q-alg math.QA
keywords odingerschrquantumalgebraequationsymmetrycasecorresponding
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Two quantum Hopf structures for the Schr\"odinger algebra as well as their corresponding differential-difference realizations are presented. For each case a (space or time) discretization of the Schr\"odinger equation is deduced and the quantum Schr\"odinger generators are shown to be symmetry operators.

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