论文标题
基于行动功能的换向关系和解释的不确定性关系的广义证明
Generalized proof of uncertainty relations in terms of commutation relation and interpretation based on action function
论文作者
论文摘要
不确定性原理对于量子力学的基础是最重要的，但仍然无法达成其解释的共识，这引起了其物理性质的辩论。在这项工作中，我们从不同方面解决了其基础问题，以提出一种替代表述，以在换向关系和行动功能方面以一般方式证明不确定性关系。从新角度研究了Broglie关系与不确定性原理之间的关系。结果，证明了布罗格利的关系是不确定性原则的基础。从问题的起源开始，我们表明，de broglie的关系提供了波浪函数的形式，而波浪函数的确定形式反过来又导致了量子力学的操作员的概念，因此有可能在操作员的帮助下提供和波函数，并提供不确定性原理作为状态的法律统治的不确定性原理的广义证明。作为解决问题的决定性解决方案，提供了不确定性原理的解释，从而提供了与已知的物理现象一致的一种自洽的解释。最终，我们表明了重新评估和改善对不确定性原理作为量子力学的主要原则的基础和解释的必要性和可能性。
The uncertainty principle is the most important for the foundations of quantum mechanics but it still remains failed to reach a consensus of its interpretation, which gives rise to debates upon its physical nature. In this work, we address the problem of its foundation from a different aspect to present an alternative formulation for proving the uncertainty relations in a general way in terms of commutation relations and action function. The relationship between the de Broglie relation and the uncertainty principle is studied from a new angle. As a result, it is demonstrated that the de Broglie relation is the foundation of the uncertainty principle. Starting with the origin of the problem, we show that the de Broglie relation provides the form of the wave function and the determined form of the wave function in turn leads to the conception of operators for quantum mechanics, and thus it is possible to provide with the help of the operators and wave function a generalized proof of the uncertainty principle as the law governing ensemble of states. As a decisive solution to the problem, the interpretation of the uncertainty principle in terms of the action function is offered that gives one self-consistent explanation in agreement with the known physical phenomena. Eventually, we show the necessity and possibility of reassessing and improving the foundation and interpretation of the uncertainty principle as a leading principle of quantum mechanics.
