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A noval fractional uncertainty relation in quaternionic quantum mechanics
  • R. Deepika,
  • K. Muthunagai
R. Deepika
Vellore Institute of Technology - Chennai Campus
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K. Muthunagai
Vellore Institute of Technology - Chennai Campus

Corresponding Author:muthunagai@vit.ac.in

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Abstract

In this work, we introduce a new form of the quaternionic fractional uncertainty relation within the framework of quaternionic quantum mechanics. This is closely associated with the Li-Ostoja-Starzewski fractional gradient operator, characterized by an order range of 0 ≤1. We explore a novel Quaternionic Schrödinger equation and its specific implications, particularly addressing solutions that lead to the emergence of position-dependent mass. Additionally, we validate the theory by comparing it against the observed maximum wavelengths in the 1,3,5-hexatriene molecule.
08 May 2024Submission Checks Completed
08 May 2024Assigned to Editor
16 May 2024Review(s) Completed, Editorial Evaluation Pending
01 Jun 2024Reviewer(s) Assigned