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Quasi-Relativistic Description of Hydrogen-Like Atoms

Quasi-Relativistic Description of Hydrogen-Like Atoms
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摘要 Using a novel wave equation, which is Galileo invariant but can give precise results up to energies<span style="font-family:Verdana;"><span style="font-family:Verdana;"><span style="font-family:Verdana;"> as high as </span></span></span><span style="font-family:Verdana;"><span style="font-family:Verdana;"><i><span style="font-family:Verdana;">mc</span></i></span></span><span style="font-family:Verdana;"><span style="font-family:Verdana;"><span style="font-family:Verdana;"><sup>2</sup></span></span></span><span style="font-family:Verdana;"><span style="font-family:Verdana;"><span style="font-family:Verdana;">, exact quasi-relativistic quantum mechanical solutions are found for the Hydrogen atom. It is shown that the exact solutions of the Grave de Peralta equation include the relativistic correction to the non-relativistic kinetic energies calculated using the Schr</span></span></span><span style="font-family:Verdana;"><span style="font-family:Verdana;"><span style="line-height:102%;font-family:Verdana;"><span style="white-space:nowrap;">&ouml;</span></span></span></span><span style="font-family:Verdana;"><span style="font-family:Verdana;"><span style="font-family:Verdana;">dinger equation.</span></span></span> Using a novel wave equation, which is Galileo invariant but can give precise results up to energies<span style="font-family:Verdana;"><span style="font-family:Verdana;"><span style="font-family:Verdana;"> as high as </span></span></span><span style="font-family:Verdana;"><span style="font-family:Verdana;"><i><span style="font-family:Verdana;">mc</span></i></span></span><span style="font-family:Verdana;"><span style="font-family:Verdana;"><span style="font-family:Verdana;"><sup>2</sup></span></span></span><span style="font-family:Verdana;"><span style="font-family:Verdana;"><span style="font-family:Verdana;">, exact quasi-relativistic quantum mechanical solutions are found for the Hydrogen atom. It is shown that the exact solutions of the Grave de Peralta equation include the relativistic correction to the non-relativistic kinetic energies calculated using the Schr</span></span></span><span style="font-family:Verdana;"><span style="font-family:Verdana;"><span style="line-height:102%;font-family:Verdana;"><span style="white-space:nowrap;">&ouml;</span></span></span></span><span style="font-family:Verdana;"><span style="font-family:Verdana;"><span style="font-family:Verdana;">dinger equation.</span></span></span>
作者 Luis Grave de Peralta Luis Grave de Peralta(Department of Physics and Astronomy, Texas Tech University, Lubbock, TX, USA)
出处 《Journal of Modern Physics》 2020年第6期788-802,共15页 现代物理(英文)
关键词 Quantum Mechanics Schrödinger Equation Relativistic Quantum Mechanics Klein-Gordon Equation Hydrogen Atom Quantum Mechanics Schrödinger Equation Relativistic Quantum Mechanics Klein-Gordon Equation Hydrogen Atom
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