Un-equivalency Theorem of Deformed Heisenberg-Weyl's Algebra in Noncommutative Space

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dc.creatorZhang, Jian-Zu
dc.date2006-02-22
dc.date.accessioned2026-07-07T07:04:22Z
dc.date.available2026-07-07T07:04:22Z
dc.descriptionAn extensively tacit understandings of equivalency between the deformed Heisenberg-Weyl algebra in noncommutative space and the undeformed Heisenberg-Weyl algebra in commutative space is elucidated. Equivalency conditions between two algebras are clarified. It is explored that the deformed algebra related to the undeformed one by a non-orthogonal similarity transformation. Furthermore, non-existence of a unitary similarity transformation which transforms the deformed algebra to the undeformed one is demonstrated. The un-equivalency theorem between the deformed and the undeformed algebras is fully proved. Elucidation of this un-equivalency theorem has basic meaning both in theory and practice.
dc.description9 pages
dc.identifierhttps://arxiv.org/abs/quant-ph/0602179
dc.identifierhttp://arxiv.org/abs/quant-ph/0602179
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/109338
dc.subjectQuantum Physics
dc.titleUn-equivalency Theorem of Deformed Heisenberg-Weyl's Algebra in Noncommutative Space
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