The exceptional Jordan eigenvalue problem

被引：23

作者：

Dray, T ^{[1
]}

Manogue, CA

机构：

[1] Oregon State Univ, Dept Math, Corvallis, OR 97331 USA

[2] Oregon State Univ, Dept Phys, Corvallis, OR 97331 USA

来源：

INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS | 1999年 / 38卷 / 11期

关键词：

Field Theory; Elementary Particle; Quantum Field Theory; Quantum Mechanic; Eigenvalue Problem;

D O I：

10.1023/A:1026699830361

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We discuss the eigenvalue problem for 3 x 3 octonionic Hermitian matrices which is relevant to the Jordan formulation of quantum mechanics. In contrast to the eigenvalue problems considered in our previous work, all eigenvalues are real and solve the usual characteristic equation. We give an elementary construction of the corresponding eigenmatrices, and we further Speculate on a possible application to particle physics.

引用

页码：2901 / 2916

页数：16