Octonionic Quantum Mechanics and Complex Geometry

Abstract

The use of complex geometry allows us to obtain a consistent formulation of octonionic quantum mechanics (OQM). In our octonionic formulation we solve the hermiticity problem and define an appropriate momentum operator within OQM. The nonextendability of the completeness relation and the norm conservation is also discussed in details.

To appear in Prog. Theor. Phys. (vol 96)

References in corpus (2)

• Octonionic Dirac Equation
• Odd Dimensional Translation between Complex and Quaternionic Mechanics

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• Hall Normalization Constants for the Bures Volumes of the n-State Quantum Systems
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• Structure of octonionic Hilbert spaces with applications in the Parseval equality and Cayley-Dickson algebras
• Superconducting currents and charge gradients in the octonion spaces
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• Quantum wave equation of non-conservative system
• Non-Associative Algebras and Quantum Physics -- A Historical Perspective
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