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首页> 外文期刊>Journal of Modern Physics >A Notable Quasi-Relativistic Wave Equation and Its Relation to the Schrödinger, Klein-Gordon, and Dirac Equations
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A Notable Quasi-Relativistic Wave Equation and Its Relation to the Schrödinger, Klein-Gordon, and Dirac Equations

机译：一个值得注意的准相对论波动方程及其与SCHR＆amp的关系; OUML; DINGER; DINGER，KLEIN-GORDON和DIRAC方程

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An intriguing quasi-relativistic wave equation, which is useful between the range of applications of the Schr ö dinger and the Klein-Gordon equations, is discussed. This equation allows for a quantum description of a constant number of spin-0 particles moving at quasi-relativistic energies. It is shown how to obtain a Pauli-like version of this equation from the Dirac equation. This Pauli-like quasi-relativistic wave equation allows for a quantum description of a constant number of spin-1/2 particles moving at quasi-relativistic energies and interacting with an external electromagnetic field. In addition, it was found an excellent agreement between the energies of the electron in heavy Hydrogen-like atoms obtained using the Dirac equation, and the energies calculated using a perturbation approach based on the quasi-relativistic wave equation. Finally, it is argued that the notable quasi-relativistic wave equation discussed in this work provides interesting pedagogical opportunities for a fresh approach to the introduction to relativistic effects in introductory quantum mechanics courses.
机译：一种有趣的准相对论波方程，它在SCHR＆amp的应用范围之间有用; OUML;讨论了探讨和Klein-Gordon方程。该等式允许常量描述在准相对论能量下移动的恒定数量的旋转颗粒。图3示出了如何从DIRAC方程获得这种等式的Pauli样本。这种像素样准相对论波方程允许量子描述恒定数量的旋转数量的旋转数量的颗粒，其在准相对论能量下移动并与外部电磁场相互作用。此外，在使用DIRAC方程获得的重氢状原子中的电子的能量之间发现了优异的一致性，以及使用基于准相对论波动方程的扰动方法计算的能量。最后，有人认为这项工作中讨论的值得注意的准相对论波动方程为新的方法提供了有趣的教学机会，以便在介绍的量子力学课程中引入相对论效应的引入。

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