The Quaternionic Quantum Mechanics

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Date
2015-12-13
Authors
Arbab, Arbab I.
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Volume Title
Publisher
UOFK
Abstract
A quaternionic wavefunction consisting of real and scalar functions is found to satisfy the quaternionic momentum eigen value equation. Each of these components is found to satisfy a generalized damped wave equation. This reduces to the massless Klein-Gordon equation for certain cases. For a plane wave solution the angular frequency is complex. This equation is in agreement with the Einstein energy-momentum formula. The spin of the particle is obtained from the interaction of the particle with the photon field.
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Keywords
Quaternions, Quantum mechanics, Dirac equation, Klein-Gordon equation
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