A Formulation of Quantum Theory Based on Two Physical Principles

• 作者: R. T. Deck
• 来源期刊: 现代物理(英文)
• 学科: 数学
• 关键词: Uncertainty PRINCIPLE INVARIANCE PRINCIPLE KLEIN-GORDON EQUATION SCHRODINGER EQUATION
• 年，卷（期）: 2015,（4）
• 页码范围: 434-447
• 页数: 14页
• 分类号: O1

摘要

We demonstrate two points: 1) the formalism of quantum mechanics can be understood simply as a structure for the expression of the physical notion that not all observables can have values simultaneously;2) the specific uncertainty relations can be derived (rigorously) by combination of the invariance principle with a general uncertainty relation based only on the existence of unspecified pairs of conjugate observables. For this purpose, we present a formulation of quantum mechanics based strictly on the invariance principle and a “weak” statement of the uncertainty principle that asserts only the existence of incompatible (conjugate) observables without specifying which observables are incompatible. We go on to show that the invariance principle can be used to develop the equations of motion of the theory, including the Klein-Gordon and Schrodinger equations.