Quantum kinematics on q-deformed quantum spaces I, Mathematical Framework

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dc.creatorWachter, Hartmut
dc.date2006-12-20
dc.date.accessioned2026-07-07T07:36:25Z
dc.date.available2026-07-07T07:36:25Z
dc.descriptionThe aim of these two papers (I and II) is to try to give fundamental concepts of quantum kinematics to q-deformed quantum spaces. Paper I introduces the relevant mathematical concepts. A short review of the basic ideas of q-deformed analysis is given. These considerations are continued by introducing q-deformed analogs of Fourier transformations and delta functions. Their properties are discussed in detail. Furthermore, q-deformed versions of sesquilinear forms are defined, their basic properties are derived, and q-analogs of the Fourier-Plancherel identity are proved. In paper II these reasonings are applied to wave functions on position and momentum space.
dc.identifierhttps://arxiv.org/abs/quant-ph/0612173
dc.identifierhttp://arxiv.org/abs/quant-ph/0612173
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/120421
dc.subjectQuantum Physics
dc.titleQuantum kinematics on q-deformed quantum spaces I, Mathematical Framework
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