TL;DR
This paper explores a q-deformed version of quantum mechanics, revealing how the uncertainty relation deviates from the classical Heisenberg principle and discussing conditions for recovering standard quantum mechanics.
Contribution
It introduces a q-deformed uncertainty relation and analyzes the conditions under which it reduces to the standard Heisenberg uncertainty principle.
Findings
q-deformed uncertainty relation differs from Heisenberg's
Recovery conditions for standard quantum mechanics are discussed
Qualitative undercut of the uncertainty relation is revealed
Abstract
Within the formulation of a q-deformed Quantum Mechanics a qualitative undercut of the q-deformed uncertainty relation from the Heisenberg uncertainty relation is revealed. When is some fixed value not equal to one, recovering of ordinary quantum mechanics and the corresponding recovering condition are discussed.
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