Non-relativistic Schroedinger theory on q-deformed quantum spaces I, Mathematical framework and equations of motion

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dc.creatorWachter, Hartmut
dc.date2007-03-08
dc.date.accessioned2026-07-07T07:50:57Z
dc.date.available2026-07-07T07:50:57Z
dc.descriptionThe aim of these three papers (I, II, and III) is to develop a q-deformed version of non-relativistic Schroedinger theory. Paper I introduces the fundamental mathematical and physical concepts. The braided line and the three-dimensional q-deformed Euclidean space play the role of position space. For both cases the algebraic framework is extended by a time element. A short review of the elements of q-deformed analysis on the spaces under consideration is given. The time evolution operator is introduced in a consistent way and its basic properties are discussed. These reasonings are continued by proposing q-deformed analogs of the Schroedinger and the Heisenberg picture.
dc.description48 pages, no figures, Latex
dc.identifierhttps://arxiv.org/abs/quant-ph/0703070
dc.identifierhttp://arxiv.org/abs/quant-ph/0703070
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/125344
dc.subjectQuantum Physics
dc.titleNon-relativistic Schroedinger theory on q-deformed quantum spaces I, Mathematical framework and equations of motion
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