Octonic second-order equations of relativistic quantum mechanics

Journal Article · Thu Jan 15 00:00:00 EST 2009 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.3058644· OSTI ID:21175887

Mironov, Victor L; Mironov, Sergey V ^[1]

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1. Institute for Physics of Microstructures, RAS, GSP-105, Nizhniy Novgorod 603950 (Russian Federation)

We demonstrate a generalization of relativistic quantum mechanics using eight-component value ''octons'' that generate an associative noncommutative spatial algebra. It is shown that the octonic second-order equation for the eight-component octonic wave function, obtained from the Einstein relation for energy and momentum, describes particles with spin 1/2. It is established that the octonic wave function of a particle in the state with defined spin projection has a specific spatial structure that takes the form of an octonic oscillator with two spatial polarizations: longitudinal linear and transverse circular.

• OSTI ID: 21175887
• Journal Information: Journal of Mathematical Physics, Vol. 50, Issue 1; Other Information: DOI: 10.1063/1.3058644; (c) 2009 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ALGEBRA
COMMUTATION RELATIONS
EQUATIONS
MATHEMATICAL OPERATORS
MATRICES
OSCILLATORS
POLARIZATION
QUANTUM MECHANICS
RELATIVISTIC RANGE
SPIN
WAVE FUNCTIONS