The quantum de Rham complexes associated with $SL_h(2)$
Vahid Karimipour
TL;DR
This paper constructs quantum de Rham complexes for the Zakrewski deformation of SL(2), introduces a new deformation of the 2D Heisenberg algebra, and explores applications in h-deformed quantum mechanics.
Contribution
It develops quantum de Rham complexes for a specific quantum group deformation and introduces a novel deformation of the 2D Heisenberg algebra for quantum mechanics models.
Findings
Quantum de Rham complexes are constructed for the Zakrewski deformation of SL(2).
A new deformation of the two-dimensional Heisenberg algebra is introduced.
The new algebra can be used to model h-deformed quantum mechanics.
Abstract
Quantum de Rham complexes on the quantum plane and the quantum group itself are constructed for the Zakrewski deformation of . As a by-product a new deformation of the two dimensional Heisenberg algeb ra is constructed which can be used to construct models of h-deformed quantum mechanics.
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