Discovery of the relativistic Schrodinger equation

K. Barley,J. Vega-Guzman, A. Ruffing,S. K. Suslov

arxiv(2022)

引用 0|浏览10
暂无评分
摘要
We discuss the discovery of the relativistic wave equation for a spin-zero charged particle in the Coulomb field by Erwin Schrodinger (presumably during the Christmas holidays of 1925-1926). However, in this new approach, an essential discrepancy was found with the fine structure formula for energy levels already obtained by Sommerfeld in the framework of the 'old' quantum mechanics. As a result, Schrodinger had to withdraw the original 'relativistically framed' article, a draft of which has never been found, from a journal and start all over with his centennial article on the nonrelativistic stationary Schrodinger equation. Our goal here is to follow the original 'relativistic idea' from a modern mathematical viewpoint and elaborate on why Schrodinger did not publish it. We hope that this consideration will encourage readers to study quantum physics starting from one of the crucial moments of its creation.
更多
查看译文
关键词
Schrodinger equation, Klein-Fock-Gordon equation, Dirac equation, hydrogen atom, Sommerfeld fine structure formula, Wentzel-Kramers-Brillouin (WKB) approximation, Laplace transform, Nikiforov-Uvarov method
AI 理解论文
溯源树
样例
生成溯源树,研究论文发展脉络
Chat Paper
正在生成论文摘要