Reformulation of Relativistic Quantum Mechanics Equations with Non-Commutative Sedeons

• 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 Sedeons Relativistic Quantum Mechanics Sedeonic KLEIN-GORDON and DIRAC EQUATIONS
• 年，卷（期）: 2013,（10）
• 页码范围: 53-60
• 页数: 8页
• 分类号: O1

摘要

We present sixteen-component values “sedeons”, generating associative non-commutative space-time algebra. The generalized relativistic wave equations based on sedeonic wave function and space-time operators are proposed. We demonstrate that sedeonic second-order wave equation for massive field can be reformulated as the quasi-classical equation for the potentials of the field or in equivalent form as the Maxwell-like equations for the field intensities. The sedeonic first-order Dirac-like equations for massive and massless fields are also discussed.