We develop a relativistic free wave equation on the complexified quaternions, linear in the derivatives. Even if the wave functions are only one-component, we show that four independent solutions, corresponding to those of the Dirac equation, exist. A partial set of translations between complex and complexified quaternionic quantum mechanics may be defined.
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Department of Mathematics, UNC, Chapel Hill, NCDepartment of Mathematics, UNC, Chapel Hill, NC
Cima J.
Mortini R.
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Département de Mathématiques et Institut Élie Cartan de Lorraine, Université de Lorraine, UMR 7502, Ile du Saulcy, MetzDepartment of Mathematics, UNC, Chapel Hill, NC
机构:
Univ Fed Rio Grande do Sul, Inst Fis, BR-91501970 Porto Alegre, RS, BrazilUniv Fed Rio Grande do Sul, Inst Fis, BR-91501970 Porto Alegre, RS, Brazil
Rizzato, Felipe B.
Pakter, Renato
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Univ Fed Rio Grande do Sul, Inst Fis, BR-91501970 Porto Alegre, RS, BrazilUniv Fed Rio Grande do Sul, Inst Fis, BR-91501970 Porto Alegre, RS, Brazil
Pakter, Renato
Levin, Yan
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Univ Fed Rio Grande do Sul, Inst Fis, BR-91501970 Porto Alegre, RS, BrazilUniv Fed Rio Grande do Sul, Inst Fis, BR-91501970 Porto Alegre, RS, Brazil
机构:
Berbekov State Educational Institution of Higher Vocational Training, Kabardino-Balkarian State University, Nal'chik, Karbardino-BalkarBerbekov State Educational Institution of Higher Vocational Training, Kabardino-Balkarian State University, Nal'chik, Karbardino-Balkar
Shebzukhova M.A.
Shebzukhov A.A.
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Berbekov State Educational Institution of Higher Vocational Training, Kabardino-Balkarian State University, Nal'chik, Karbardino-BalkarBerbekov State Educational Institution of Higher Vocational Training, Kabardino-Balkarian State University, Nal'chik, Karbardino-Balkar