Variational Formulation for Quaternionic Quantum Mechanics
C. A. M. de Melo, B. M. Pimentel
TL;DR
This paper develops a quaternionic quantum mechanics framework using a variational approach, providing new formulations of commutation relations and evolution equations, and comparing these with existing models.
Contribution
It introduces a quaternionic formulation of quantum mechanics based on Schwinger's measurement theory and variational principles, expanding the mathematical foundation of the field.
Findings
Derived quaternionic commutation relations
Established evolution equations in quaternionic quantum mechanics
Compared quaternionic formulation with existing models
Abstract
A quaternionic version of Quantum Mechanics is constructed using the Schwinger's formulation based on measurements and a Variational Principle. Commutation relations and evolution equations are provided, and the results are compared with other formulations.
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