{"paper":{"title":"The Quaternionic Quantum Mechanics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.gen-ph","authors_text":"Arbab I. Arbab","submitted_at":"2010-02-27T08:11:50Z","abstract_excerpt":"A quaternionic wavefunction consisting of real and scalar functions is found to satisfy the quaternionic momentum eigenvalue equation. Each of these components are found to satisfy a generalized wave equation of the form $\\frac{1}{c^2}\\frac{\\partial^2\\psi_0}{\\partial t^2} - \\nabla^2\\psi_0+2(\\frac{m_0}{\\hbar})\\frac{\\partial\\psi_0}{\\partial t}+(\\frac{m_0c}{\\hbar})^2\\psi_0=0$. This reduces to the massless Klein-Gordon equation, if we replace $\\frac{\\partial}{\\partial t}\\to\\frac{\\partial}{\\partial t}+\\frac{m_0c^2}{\\hbar}$. For a plane wave solution the angular frequency is complex and is given by "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1003.0075","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}