Octonionic Quantum Mechanics and Complex Geometry
Author(s) -
Stefano De Leo,
Khaled Abdel-Khalek
Publication year - 1996
Publication title -
progress of theoretical physics
Language(s) - English
Resource type - Journals
eISSN - 1347-4081
pISSN - 0033-068X
DOI - 10.1143/ptp.96.823
Subject(s) - physics , completeness (order theory) , classical mechanics , theoretical physics , operator (biology) , angular momentum operator , norm (philosophy) , algebra over a field , pure mathematics , angular momentum , total angular momentum quantum number , angular momentum coupling , mathematics , mathematical analysis , biochemistry , chemistry , repressor , transcription factor , gene , political science , law
The use of complex geometry allows us to obtain a consistent formulation ofoctonionic quantum mechanics (OQM). In our octonionic formulation we solve thehermiticity problem and define an appropriate momentum operator within OQM. Thenonextendability of the completeness relation and the norm conservation is alsodiscussed in details.Comment: To appear in Prog. Theor. Phys. (vol 96
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