Non-commutative quantum dynamics
Jakub Rembielinski & Kordian A. Smolinski

TL;DR
This paper introduces a $q$-deformation of one-dimensional quantum dynamics, demonstrating that there is a unique essential deformation that preserves core quantum properties.
Contribution
It establishes the existence and uniqueness of a fundamental $q$-deformation in one-dimensional quantum dynamics.
Findings
Proved the existence of a $q$-deformation
Showed the deformation is unique
Characterized the essential deformation
Abstract
We described a -deformation of a quantum dynamics in one dimension. We prove that there exists only one essential deforamtion of quantum dynamics.
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