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Currently Playing: Quantum theory of the Stark effect

Buy me a coffee and support the channel: https://ko-fi.com/jkzero [Members only] Supplementary Notes with all the equations and extra content https://ko-fi.com/jkzero/shop Become a member and get access to the Supplementary Notes with all the equations and extra content https://ko-fi.com/jkzero/tiers In this video I present the solution to the Stark effect using old-quantum theory published simultaneously by Paul Epstein and Karl Schwarzschild in 1916. After the fine structure, this was the second success of Sommerfeld's quantization method. [Related videos] ∘ How Niels Bohr created the quantum atom https://youtu.be/xINR4MoqYVc ∘ Sommerfeld and the fine-structure constant https://youtu.be/H4ZnVpiQTDw ∘ Discovery of the Stark effect https://youtu.be/CQ1kgzCXDe8 ∘ Discovery of the Anomalous Zeeman effect https://youtu.be/a-hga-X9aKo ∘ Discovery of the Zeeman effect https://youtu.be/dM5xWIsNbR4 ∘ Playlist video series on Quantum Physics https://www.youtube.com/playlist?list=PL_UV-wQj1lvVxch-RPQIUOHX88eeNGzVH ∘ Playlist Classical Physics for Quantum Mechanics https://www.youtube.com/playlist?list=PL_UV-wQj1lvX-6uNvdvOHOopu4WZ_dE5w [References] [1] P. Zeeman, "Researches in magneto-optics, with special reference to the magnetic resolution of spectrum lines," London, Macmillan (1913) [2] G.N. Lewis and F.H. Spedding, "A Spectroscopic Search for H3 in Concentrated H2," Phys. Rev. 43, 964 (1933) [3] J. Stark and H. Kirschbaum, "Beobachtungen über den Effekt des elektrischen Feldes auf Spektrallinien. III. Abhängigkeit von der Feldstärke," Ann. Phys. 348: 991-1016 (1914) [4] N. Bohr, "On the Effect of Electric and Magnetic Fields on Spectral Lines," Phil. Mag. 27, 506 (1914) [5] F. Paschen, Bohrs Heliumlinien, Ann. Phys. 50, 901 (1916) [6] A. Sommerfeld, "Zur Quantentheorie der Spektrallinien," Ann. Phys. 51, 1-94, 125-167 (1916) [7] J. Stark, "Beobachtungen über den Effekt des elektrischen Feldes auf Spektrallinien. I. Quereffekt," Ann. Phys. 348: 965-982 (1914) [8] A. Sommerfeld, "Zur Theorie der Balmerschen Serie," Klasse der K.B. Akademie der Wissenschaften zu München, 425 (1915) [9] J. Stark, "Beobachtungen über den Effekt des elektrischen Feldes auf Spektrallinien. V. Feinzerlegung der Wasserstoffserie," Ann. Phys. 353: 193-209 (1915) [10] P. S. Epstein "Zur Theorie des Starkeffekts," Ann. Phys. 50, 489-521 (1916) [11] K. Schwarzschild, "Zur Quantenhypothese," Sitzungsberichte der Preußischen Akademie der Wissenschaften in Berlin, pp. 548-568 (1916) [12] P. S. Epstein "Zur Theorie des Starkeffekts," Phys. Z. 17, 148 (1916) [13] P. S. Epstein "The Stark Effect from the Point of View of Schroedinger's Quantum Theory," Phys. Rev. 28, 695 (1926) [Credits] Simulated emission spectrum of Nd-I by A. Kramida et al., NIST, public domain Niels Bohr, AIP Visible spectrum of helium by J. Homann under CC BY-SA 3.0 Arnold Sommerfeld, AIP Anode Ray Tube by Kkmurray under CC BY-SA 3.0 Max Planck, AIP Albert Einstein, public domain Niels Bohr, AIP Simulated emission spectrum of hydrogen by A. Kramida et al., NIST, public domain Simulated emission spectrum of helium by A. Kramida et al., NIST, public domain Friedrich Paschen, public domain Paul S. Epstein, public domain Karl Schwarzschild, public domain Black hole visualization, by NASA/J.Schnittman, public domain Parabolic Coordinates, adapted from mathworld.wolfram.com Hendrik Kramers, public domain Ali Mosharrafa, public domain Hendrik Lorentz, public domain Paul Ehrenfest, public domain Robert Millikan, public domain AIP: American Institute of Physics, Emilio Segrè Visual Archives CC BY 2.5: https://creativecommons.org/licenses/by/2.5/deed.en CC BY-SA 3.0: https://creativecommons.org/licenses/by-sa/3.0/deed.en CC BY-SA 4.0: https://creativecommons.org/licenses/by-sa/4.0/deed.en