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====New quantum theory==== In the first years of his career, Schrödinger became acquainted with the ideas of the [[old quantum theory]], developed in the works of Einstein, [[Max Planck]], [[Niels Bohr]], [[Arnold Sommerfeld]], and others. This knowledge helped him work on some problems in [[theoretical physics]], but the Austrian scientist at the time was not yet ready to part with the traditional methods of [[classical physics]].<ref>{{Cite journal |last=Fischer |first=Earnst Peter |date=Autumn 1984 |title=We Are All Aspects of One Single Being: An Introduction to Erwin Schrödinger |url=https://www.jstor.org/stable/40970963 |journal=Social Research |publisher=The Johns Hopkins University Press |volume=51 |issue=3 |pages=809–835 |jstor=40970963 |pmid=11616408 |via=JSTORE |jstor-access= |access-date=6 February 2024 |archive-date=6 February 2024 |archive-url=https://web.archive.org/web/20240206162904/https://www.jstor.org/stable/40970963 |url-status=live }}</ref> Schrödinger's first publications about atomic theory and the theory of spectra began to emerge only from the beginning of the 1920s, after his personal acquaintance with Sommerfeld and [[Wolfgang Pauli]] and his move to Germany. In January 1921, Schrödinger finished his first article on this subject, about the framework of the [[Bohr-Sommerfeld quantization|Bohr–Sommerfeld quantization]] of the interaction of electrons on some features of the spectra of the alkali metals. Of particular interest to him was the introduction of relativistic considerations in quantum theory. In autumn 1922, he analyzed the electron orbits in an atom from a geometric point of view, using methods developed by his friend [[Hermann Weyl]]. This work, in which it was shown that quantum orbits are associated with certain geometric properties, was an important step in predicting some of the features of wave mechanics. Earlier in the same year, he created the Schrödinger equation of the [[relativistic Doppler effect]] for spectral lines, based on the hypothesis of light quanta and considerations of energy and momentum. He liked the idea of his teacher Exner on the statistical nature of the conservation laws, so he enthusiastically embraced the [[BKS theory]] of Bohr, [[Hans Kramers]], and [[John C. Slater]], which suggested the possibility of violation of these laws in individual atomic processes (for example, in the process of emission of radiation). Although the [[Bothe–Geiger coincidence experiment]] soon cast doubt on this, the idea of energy as a statistical concept was a lifelong attraction for Schrödinger, and he discussed it in some reports and publications.<ref name=jammer>{{cite book|first=Max |last=Jammer |author-link=Max Jammer |title=The Conceptual Development of Quantum Mechanics |location=New York |publisher=American Institute of Physics |orig-year=1966 |year=1989 |isbn=978-0-88318-617-6 |oclc=300417620}}</ref>
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