Separation of noncommutative differential calculus on quantum Minkowski space

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dc.creatorBachmaier, Fabian
dc.creatorBlohmann, Christian
dc.date2005-06-13
dc.date.accessioned2026-07-07T06:29:06Z
dc.date.available2026-07-07T06:29:06Z
dc.descriptionNoncommutative differential calculus on quantum Minkowski space is not separated with respect to the standard generators, in the sense that partial derivatives of functions of a single generator can depend on all other generators. It is shown that this problem can be overcome by a separation of variables. We study the action of the universal L-matrix, appearing in the coproduct of partial derivatives, on generators. Powers of he resulting quantum Minkowski algebra valued matrices are calculated. This leads to a nonlinear coordinate transformation which essentially separates the calculus. A compact formula for general derivatives is obtained in form of a chain rule with partial Jackson derivatives. It is applied to the massive quantum Klein-Gordon equation by reducing it to an ordinary q-difference equation. The rest state solution can be expressed in terms of a product of q-exponential functions in the separated variables.
dc.description33 pages
dc.identifierhttps://arxiv.org/abs/math/0506249
dc.identifierhttp://arxiv.org/abs/math/0506249
dc.identifierJ.Math.Phys. 47 (2006) 023501
dc.identifierdoi:10.1063/1.2165793
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/97915
dc.subjectQuantum Algebra
dc.subjectHigh Energy Physics - Theory
dc.subject81R60; 17B37; 46L87
dc.titleSeparation of noncommutative differential calculus on quantum Minkowski space
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