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