TL;DR
This paper develops a q-deformed conformal quantum mechanics model with complex deformation parameters, maintaining unitarity, and explores the associated differential calculus on the quantum phase space.
Contribution
It introduces a novel q-deformed conformal quantum mechanics framework with complex parameters, preserving unitarity and extending the mathematical structure of quantum phase space.
Findings
Constructed a q-deformed conformal quantum mechanics model with complex deformation parameter.
Maintained unitarity of the time evolution in the deformed model.
Analyzed differential calculus on the associated quantum phase space.
Abstract
We construct a q-deformed version of the conformal quantum mechanics model of de Alfaro, Fubini and Furlan for which the deformation parameter is complex and the unitary time evolution of the system is preserved. We also study differential calculus on the q-deformed quantum phase space associated with such system.
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