28 citations · 140 across the 26 of their papers we have counts for
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Klein-Gordon equation in -deformed Euclidean space
Hartmut Wachter
We introduce -versions of the Klein-Gordon equation in the three-dimensional -deformed Euclidean space. We determine plane wave solutions to our -deformed Klein-Gordon equ…
Quantum Dynamics on the three-dimensional q-deformed Euclidean Space
Hartmut Wachter
I extend the three-dimensional q-deformed Euclidean space by a time element and discuss the algebraic structure of this quantum space together with its differential calculi. Using…
Momentum and Position Representations for the q-deformed Euclidean Quantum Space
Hartmut Wachter
We summarize some basics about mathematical tools of analysis for the q-deformed Euclidean space. We use the new tools to examine q-deformed eigenfunctions of the momentum or posit…
Analysis on q-deformed quantum spaces
Hartmut Wachter
A q-deformed version of classical analysis is given to quantum spaces of physical importance, i.e. Manin plane, q-deformed Euclidean space in three or four dimensions, and q-deform…
q-Deformed quantum Lie algebras
Alexander Schmidt, Hartmut Wachter
Attention is focused on q-deformed quantum algebras with physical importance, i.e. , and q-deformed Lorentz algebra. The main concern of this article…
Braided products for quantum spaces
Hartmut Wachter
Attention is focused on quantum spaces of physical importance, i.e. Manin plane, q-deformed Euclidean space in three or four dimensions as well as q-deformed Minkowski space. There…
Operator Representations on Quantum Spaces
Claudia Bauer, Hartmut Wachter
In this article we present explicit formulae for q-differentiation on quantum spaces which could be of particular importance in physics, i.e., q-deformed Minkowski space and q-defo…