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Foundations of the Quaternion Quantum Mechanics

2020
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Entropy
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We show that quaternion quantum mechanics has well-founded mathematical roots and can be derived from the model of the elastic continuum by French mathematician Augustin Cauchy, i.e., it can be regarded as representing the physical reality of elastic continuum. Starting from the Cauchy theory (classical balance equations for isotropic Cauchy-elastic material) and using the Hamilton quaternion algebra, we present a rigorous derivation of the quaternion form of the non- and relativistic wave

doi:10.3390/e22121424
pmid:33348816
pmcid:PMC7766457
fatcat:fkr74u4wnvcc5k5xlp6rxmryti