Uploads from Dr. Jorge S. Diaz

Currently Playing: Optical dispersion becomes quantum

Buy me a coffee and support the channel: https://ko-fi.com/jkzero In this journey towards Heisenberg's matrix formulation of quantum mechanics, here I present the quantum theory of dispersion and how Rudolf Ladenburg interpreted the classical density of electrons in terms of Einstein's transition probabilities. Ladenburg's formula hides one of the key components of Heisenberg's matrix mechanics. [Related videos] ∘ Heisenberg's Matrix Mechanics, part 1 https://youtu.be/_lC6-RUI7PQ ∘ Heisenberg's Matrix Mechanics, part 2 https://youtu.be/HC0a33HnTuE ∘ Playlist video series on Quantum Physics https://www.youtube.com/playlist?list=PL_UV-wQj1lvVxch-RPQIUOHX88eeNGzVH [References] ∘ R. W. Wood, "A quantitative determination of the anomalous dispersion of sodium vapour in the visible and ultra-violet regions," Phil. Mag. Series 6 8: 293 (1904) ∘ R. Ladenburg and S. Loria, "Uber die Dispersion des leuchtenden Wasserstoffs," Phys. Z. 9, 875 (1908) ∘ S. Loria, "Quantitative Bestimmung der anomalen Dispersion des Lichtes in gesättigtem nicht leuchtendem Natriudampfe von der Temperatur 385°C," Die Naturwissenschaften 11, 584 (1909) ∘ R. Ladenburg, "Astrophysikalische Bemerkungen im Anschluss an Versuche über Absorption und anomale Dispersion in leuchtendem Wasserstoff," Phys. Z. 12, 9 (1911) ∘ P. V. Bevan, "Dispersion of light by Potassium Vapour," Proc. R. Soc. Lond. A84,209 (1910) ∘ H. Kohn, "Über das Wesen der Emission der in Flammen leuchtenden Metalldämpfe," dysertacje Uniwersytetu Wrocławskiego (1913) ∘ R. Ladenburg, "Über die Zahl der an der Emission von Spektrallinien beteiligten Atome," Verh. Dtsch. Phys. Ges. 16: 765 (1914) ∘ N. Bohr, "On the constitution of atoms and molecules," Philos. Mag. 26, 476 (1913) ∘ P. Debye, "Die Konstitution des Wasserstoff-Moleküls," Sitzungsberichte der Mathematisch-Physikalischen Klasse der Königlich Bayerischen Akademie der Wissenschaften zu München 1 (1915) ∘ A. Sommerfeld, "Die Drudesche Dispersionstheorie vom Standpunkte des Bohrschen Modelles und die Konstitution von H2, O2 und N2," Ann. Phys. 358, 497 (1917) ∘ H. van Leeuwen, "Die Instabilität des Bohr-Debyeschen Wasserstoff-Moleküls und die Dispersion von Wasserstoff," Phys. Z. 17, 196 (1916) ∘ R. Ladenburg, "Die Elektronenordnung in den Elementen der großen Perioden," Die Naturwissenschaften 8, 5 (1920) ∘ R. Ladenburg, "Die quantentheoretische Deutung der Zahl der Dispersionselektronen," Z. Phys. 4, 451 (1921) [Credits] Light dispersion through an Amici prism by D-Kuru under CC BY-SA 3.0 AT Fraunhofer's original spectrum, by J. Fraunhofer under CC BY-SA 4.0 Conference at the Niels Bohr Institute, AIP Absorption spectrum by Almuazi under CC BY-SA 4.0 Hendrik Lorentz, public domain Paul Drude, public domain Rudolf Landeburg, public domain Wilhelm C. Röntgen, public domain Photoelectric effect for different wavelengths by MikeRun under CC BY-SA 4.0 U. Breslau, AIP Landeburg's lab in Breslau, AIP Niels Bohr, AIP Outing in Pontresina, AIP Max Born, public domain Otto Toeplitz, Oberwolfach Photo Collection, archives of P. Roquette, Heidelberg under CC BY-SA 2.0 DE Gottingen-ITP-1926, AIP David Hilbert, public domain Felix Klein, AIP Hermann Minkowski, AIP Carl Runge, public domain Diagram of a light cone by Stib/K. Aainsqatsi under CC BY-SA 3.0 Spacetime diagrams, public domain Faraday effect, public domain Ludwig C. Geiger, Wiechert’sche Erdbebenwarte Göttingen Simple harmonic oscillator by I. Airola under CC BY-SA 4.0 Otto Lummer, public domain Ernst Pringsheim, public domain Apparatus is used in measuring the total radiant energy from a blackbody, AIP Hedwig Kohn, public domain Lise Meitner, public domain German A7V tanks roll to the Western Front, public domain Sound ranging system, public domain Albert Einstein, AIP Walther Nernst, public domain Heinrich Rubens, public domain Fritz Haber, public domain Werner Heisenberg, public domain Arnold Sommerfeld, AIP Peter Debye, AIP Hendrika van Leeuwen, AIP AIP: American Institute of Physics, Emilio Segrè Visual Archives CC BY 2.0: https://creativecommons.org/licenses/by/2.0/deed.en CC BY-SA 2.0 DE: https://creativecommons.org/licenses/by-sa/2.0/de/deed.en CC BY-SA 2.0: https://creativecommons.org/licenses/by-sa/2.0/deed.en CC BY-SA 3.0: https://creativecommons.org/licenses/by-sa/3.0/deed.en CC BY 3.0: https://creativecommons.org/licenses/by/3.0/deed.en CC BY-SA 3.0 AT: https://creativecommons.org/licenses/by-sa/3.0/at/deed.en CC BY-SA 4.0: https://creativecommons.org/licenses/by-sa/4.0/deed.en