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arXiv 2201.10174quant-ph
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修正薛定谔方程的能级结构可与兰姆位移一致

The energy level structure of the modified Schrodinger equation can be consistent with Lamb shift

Yu-kuo Zhao, Yu-xin Dong

AI总结:

本文提出修正薛定谔方程,通过改进作用势中的修正函数,使类氢和类氦体系的能级结构与兰姆位移一致,避免了复杂的费曼图计算。

摘要:

在计算原子和分子结构的文献中,大多数薛定谔方程由库仑势描述。然而,也有少数文献讨论了一些磁修正方法,例如Pauli和Shortley的早期工作。但事实上,这些薛定谔方程的计算精度与兰姆位移不一致。因此,在传统的量子力学从头计算中,使用狄拉克理论或量子电动力学(QED)来修正薛定谔方程的能级是常见且必要的。然而,费曼图的计算是一个棘手的问题,包括相对论和密度泛函理论中自洽场的应用。最近,我们注意到修正牛顿力学的简洁性,并认为量子力学将具有类似的性质。在此,我们陈述这一点,并改进我们先前作用势中的修正函数。此外,通过这里对类氢和类氦体系的演示,可以证明这一结论具有潜在应用,即我们修正的薛定谔方程的能级结构与兰姆位移一致。

英文摘要:

In the literature of calculating atomic and molecular structures, most Schrodinger equations are described by Coulomb potential. However, there are also a few literatures that discuss some magnetic correction methods, such as Pauli and Shortley's early work. But in fact, the calculation accuracy of these Schrodinger equations is not consistent with Lamb shift. Therefore, in the traditional ab initio calculation of quantum mechanics, it is common and necessary to use Dirac theory or quantum electrodynamics (QED) to correct the energy level of Schrodinger equation. However, the calculation of Feynman diagram is a daunting problem, including the application of self-consistent field in relativity and density functional theory. So recently, we have noticed the simplicity of the modified Newtonian mechanics, and we think that quantum mechanics will have similar properties. Here, we state this and improve the correction function in our previous action potential. In addition, through the demonstration of hydrogen-like and helium-like systems here, it can be proved that this conclusion is a potential application, that is, the energy level structure of our modified Schrodinger equation is consistent with Lamb shift.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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