论文标题
提高我们对klein-gordon方程的理解
Improving our understanding of the Klein-Gordon equation
论文作者
论文摘要
为了提供比许多标准方法，对相对论量子力学中克莱因·戈登方程的详细考虑。该方程经常在研究文献中使用，即使经常在其二阶性质，其负能量溶液的状态以及颗粒密度和通量的表述方面提出问题。这些问题大多数可以通过驳回负能量解决方案来避免。方程式在广泛的波动箱中的应用表明，对通常的相对主义形式主义的一项小修正案可以帮助证明与非偏见的案例的连续性，尽管当提议的量子状态具有广泛的相对论能量分布时仍然存在困难。
A detailed consideration of the Klein-Gordon equation in relativistic quantum mechanics is presented in order to offer more clarity than many standard approaches. The equation is frequently employed in the research literature, even though problems have often been raised regarding its second-order nature, the status of its negative-energy solutions and the formulation of particle density and flux. Most of these problems can be avoided by dismissing the negative-energy solutions. An application of the equation to a broad wave-packet shows that a small amendment to the usual relativistic formalism can be helpful to demonstrate continuity with the non-relativistic case, although difficulties remain when the proposed quantum state has a broad relativistic energy distribution.
