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Quaternionic electron theory: Geometry, algebra, and Dirac's spinors - MaRDI portal

Quaternionic electron theory: Geometry, algebra, and Dirac's spinors (Q1303442)

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Quaternionic electron theory: Geometry, algebra, and Dirac's spinors
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    Quaternionic electron theory: Geometry, algebra, and Dirac's spinors (English)
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    16 September 1999
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    The Dirac equation and its Clifford algebraic form obtained by Hestenes is reformulated by the algebra of complex quaternions. This algebra, sometimes called Pauli algebra also, is a non-simple real Clifford algebra. Using complex geometry and the polar decomposition of operator spinors an invariant geometric form of Dirac's equation is presented.
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    complex quaternions
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    electron theory
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    Dirac equation
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    quaternionic Schrödinger theory
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    geometric algebra
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    space-time algebra
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    Clifford algebra
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    Pauli algebra
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