Associative Space-Time Sedenions and Their Application in Relativistic Quantum Mechanics and Field Theory

• 作者: Sergey V. Mironov Victor L. Mironov
• 来源期刊: 应用数学(英文)
• 学科: 数学
• 关键词: CLIFFORD Algebra SPACE-TIME Sedenions Relativistic Quantum Mechanics Sedenionic KLEIN-GORDON EQUATION Sedenionic Dirac EQUATION Sedenionic Maxwell Equiations
• 年，卷（期）: yysxyw_2015,（1）
• 页码范围: 46-56
• 页数: 11页
• 分类号: O1

摘要

We present an alternative sixteen-component hypercomplex scalar-vector values named “space-time sedenions”, generating associative noncommutative space-time Clifford algebra. The generalization of relativistic quantum mechanics and field theory equations based on sedenionic wave function and space-time operators is discussed.