带电粒子的新能量动量算符Klein-Gordon方程
Klein-Gordon equation for electrically charged particles with new energy-momentum operator
摘要：
我们解决的Klein-Gordon方程的无自旋带电粒子在电磁场（EM）的存在下，并专注于其已知的缺点，与负概率密度的解决方案的存在。我们揭示了克服这一缺点的主要方法，利用我们最近在分析电荷和偶极子的量子相位效应中获得的结果，这些结果证明了需要放弃带电粒子在EM场中通过其正则动量的动量算符的习惯定义，并通过带电粒子在电磁场中的机械动量和电磁动量之和来采用该算子的更一般的定义。我们证明了新的能量-动量算符对Klein-Gordon方程的应用实际上消除了具有负概率密度的解。讨论了所得结果的一些意义
英文摘要：
We address the Klein-Gordon equation for a spinless charged particle in the presence of an electromagnetic (EM) field, and focus on its known shortcoming, related to the existence of solutions with a negative probability density. We disclose a principal way to overcome this shortcoming, using our recent results obtained in the analysis of quantum phase effects for charges and dipoles, which prove the need to abandon the customary definition of the momentum operator for a charged particle in an EM field through its canonical momentum, and to adopt the more general definition of this operator through the sum of mechanical and electromagnetic momenta for the charged particle in an EM field. We show that the ap-plication of the new energy-momentum operator to the Klein-Gordon equation actually eliminates solutions with negative probability density. Some implications of the obtained results are discussed
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