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====Creation of wave mechanics==== In January 1926, Schrödinger published in ''[[Annalen der Physik]]'' the paper "{{Lang|de|Quantisierung als Eigenwertproblem}}" (Quantization as an [[Eigenvalue]] Problem)<ref>{{cite journal|last=Schrodinger|first=Erwin|title=Quantisierung als Eigenwertproblem|journal=[[Annalen der Physik]]|year=1926|volume=384|issue=4|pages=273–376|doi=10.1002/andp.19263840404|bibcode=1926AnP...384..361S|doi-access=}}</ref> on wave mechanics and presented what is now known as the Schrödinger equation. In this paper, he gave a "derivation" of the wave equation for time-independent systems and showed that it gave the correct energy eigenvalues for a hydrogen-like atom. This paper has been universally celebrated as one of the most important achievements of the twentieth century and created a revolution in most areas of quantum mechanics and indeed of all physics and chemistry. A second paper was submitted just four weeks later that solved the [[quantum harmonic oscillator]], [[rigid rotor]], and [[diatomic molecule]] problems and gave a new derivation of the Schrödinger equation. A third paper, published in May, showed the equivalence of his approach to that of [[Werner Heisenberg]]'s [[matrix mechanics]] and gave the treatment of the [[Stark effect]]. A fourth paper in this series showed how to treat problems in which the system changes with time, as in scattering problems. In this paper, he introduced a complex solution to the wave equation in order to prevent the occurrence of fourth- and sixth-order differential equations. Schrödinger ultimately reduced the order of the equation to one.<ref>''[[The Dreams That Stuff Is Made Of]]: The Most Astounding Papers of Quantum Physics—and How They Shook the Scientific World'', [[Stephen Hawking]], (editor), the papers by Schrödinger.</ref> Building on a paper by Einstein, [[Boris Podolsky]], and [[Nathan Rosen]], which introduced the thought-experiment now known as the [[EPR paradox]], Schrödinger published in 1935 a paper that codified the concept of [[quantum entanglement]].<ref name="Schroeder-2017">{{cite journal |last=Schroeder |first=Daniel V. |date=1 November 2017 |title=Entanglement isn't just for spin |url=https://pubs.aip.org/ajp/article/85/11/812/1057936/Entanglement-isn-t-just-for-spin |journal=American Journal of Physics |volume=85 |issue=11 |pages=812–820 |arxiv=1703.10620 |doi=10.1119/1.5003808 |bibcode=2017AmJPh..85..812S }}</ref> He deemed this quantum phenomenon "the one that enforces its entire departure from [[Classical mechanics|classical]] lines of thought."<ref name="Schrödinger1935">{{cite journal |author=Schrödinger |first=Erwin |year=1935 |title=Discussion of probability relations between separated systems |journal=Mathematical Proceedings of the Cambridge Philosophical Society |volume=31 |issue=4 |pages=555–563 |bibcode=1935PCPS...31..555S |doi=10.1017/S0305004100013554}}</ref> Schrödinger was not entirely comfortable with the implications of quantum theory referring to his theory as "wave mechanics".<ref>Beller, Mara. "Matrix Theory before Schrodinger: Philosophy, Problems, Consequences." Isis, vol. 74, no. 4, [The University of Chicago Press, The History of Science Society], 1983, pp. 469–91, http://www.jstor.org/stable/232208 {{Webarchive|url=https://web.archive.org/web/20211006103703/https://www.jstor.org/stable/232208 |date=6 October 2021 }}. "The Gottingen-Copenhagen physicists, however, presented a united front. They cooperated intimately, each contributing extensively to the emergence of the new philosophy. The distribution of talents in the Gottingen-Copenhagen group could not have been better. The youthful vigor and brilliance of Heisenberg, together with the mathematical virtuosity of Dirac, Jordan, and Born, were balanced by Bohr's philosophical profundity and Pauli's penetrating critical mind."</ref><ref>Stone, A. Douglas (2013). "Confusion and Then Uncertainty." ''Einstein and the Quantum: The Quest of the Valiant Swabian''. Princeton University Press, pp. 268–78, http://www.jstor.org/stable/j.ctt3fgxvv.32."Ironically, Schrödinger was correct; his method was much more intuitive and visualizable than that of Heisenberg and Born, and it has become the overwhelmingly preferred method for presenting the subject. But with Born's probabilistic interpretation of the wave-function, Heisenberg's uncertainty principle, and Bohr's mysterious complementarity principle, the 'Copenhagen interpretation' reigned supreme, and the term 'wave mechanics' disappeared; it was all quantum mechanics."</ref> He wrote about the probability interpretation of quantum mechanics, saying, "I don't like it, and I'm sorry I ever had anything to do with it." (In order to ridicule the [[Copenhagen interpretation|viewpoints of Bohr and Heisenberg]] on quantum mechanics, he contrived the famous thought experiment called the [[Schrödinger's cat]] paradox.<ref>{{cite news |url=https://www.nytimes.com/2005/12/26/science/a-quantum-sampler.html |work=The New York Times |title=A Quantum Sampler |date=26 December 2005 |access-date=13 August 2021 |archive-date=15 September 2017 |archive-url=https://web.archive.org/web/20170915080006/http://www.nytimes.com/2005/12/26/science/a-quantum-sampler.html |url-status=live }}</ref> He was said to have angrily complained to his students that "''now the damned Göttingen physicists use my beautiful wave mechanics for calculating their shitty matrix elements.''"<ref>[[Helmut Rechenberg|Rechenberg, Helmut]]. "Werner Heisenberg: Die Sprache der Atome" Springer-Verlag, 2010, pp. 485, https://link.springer.com/book/10.1007/978-3-540-69222-5 {{Webarchive|url=https://web.archive.org/web/20220528034502/https://link.springer.com/book/10.1007/978-3-540-69222-5 |date=28 May 2022 }}. "Noch drastischer sollte Schrödinger seine Meinung im Züricher Seminar nach einem Vortrag über eine neue Arbeit der Konkurrenten ausgedrückt haben. Er setzte sich nachher leicht verzweifelt und verärgert auf die Straße und sagte: "''Jetzt benützen die verdammten Göttinger meine schöne Wellenmechanik zur Ausrechnung ihrer Scheiß-Matrixelemente.''"</ref>)
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