Duality between coordinates and wave functions on noncommutative space |
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| Institution: | 1. Departamento de Conservação e Restauro, Faculdade de Ciências e Tecnologia, Universidade NOVA de Lisboa, 2829516 Monte de Caparica, Portugal;2. VICARTE, Research Unit Vidro e Cerâmica para as Artes, Faculdade de Ciências e Tecnologia, Universidade NOVA de Lisboa Campus Caparica, 2829516 Caparica, Portugal;3. iMed.ULisboa, Research Institute for Medicines, Av. Prof. Gama Pinto, 1649003 Lisboa, Portugal;1. Dept. of Mathematics, Universität Hamburg, Bundesstraße 55, 20146 Hamburg, Germany;2. Dept. of Mathematics, Technische Universität Darmstadt, Dolivostr. 15, 64293 Darmstadt, Germany |
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| Abstract: | The relation between coordinates and the solutions of the stationary Schrödinger equation in the noncommutative algebra of functions on R2N is discussed. We derive this relation for a certain class of wave functions for which the quantum prepotentials depend linearly on the coordinates similarly to the commutative case. Also, the differential equation satisfied by the prepotentials is given. |
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