Octonic second-order equations of relativistic quantum mechanics

被引：21

作者：

Mironov, Victor L. ^{[1
]}

Mironov, Sergey V. ^{[1
]}

机构：

[1] RAS, Inst Phys Microstruct, Nizhnii Novgorod 603950, Russia

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2009年 / 50卷 / 01期

关键词：

mathematical operators; matrix algebra; relativistic quantum mechanics; wave functions; DIRAC-EQUATION; NONCONSERVATION; FIELD;

D O I：

10.1063/1.3058644

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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.

引用

页数：13

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