AI 中文总结
本文将含标量和矢量势的克莱因-戈登-福克（KGF）理论作为单粒子相对论量子力学，推导其严格厄米的哈密顿形式、单分量波函数形式及自由粒子通解，还分析了非相对论与极端相对论极限。
AI 中文摘要
本文将含标量势和矢量势的克莱因-戈登-福克（KGF）理论呈现为一种单粒子相对论量子力学（QM）。首先，在旋量空间中将KGF方程写成哈密顿形式；与费什巴赫-维拉尔（Feshbach-Villars）方法不同，此处的哈密顿量严格为厄米的。接着，将该方程重写为单分量波函数的形式，给出了在单分量波函数空间中作用的哈密顿量及其他可观测量算符的表达式，考虑了这些表达式的非相对论和极端相对论极限，并给出了描述自由粒子的KGF方程的通解。
英文摘要
The Klein-Gordon-Fock (KGF) theory with the vector potential is presented as a one particle relativistic quantum mechanics (QM). First, the KGF equation is written in a Hamiltonian form, in spinor space; unlike the Feshbach-Villars approach, the Hamiltonian here is strictly Hermitian. Then this equation is rewritten for a one-component wave function. Expressions for the Hamiltonian and other observables' operators acting in the space of one-component wave functions are presented. The nonrelativistic and ultrarelativistic limits of these expressions are considered. A general solution to the KGF equation describing a free particle is presented.
Commentscorrected expression for the energy-momentum tensor
