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- W2995012119 abstract "We solve an approximate differential equation for the classical motion of the electron in a hydrogen atom including effects of radiation damping. Although the solution finally leads to collapse of the atom, it is nevertheless meaningful when the electron is still far from the proton. According to Bohr's correspondence principle, the radiating spiral motion is the classical analogue of spontaneous emission. In particular we obtain from the classical spiral orbit, in conjunction with semiclassical assumptions, surprisingly accurate estimates of the quantal lifetimes of the excited hydrogen states. This suggests that classical orbits are meaningful in quantum theory. Zusammenfassung. Aus einer vereinfachten Differentialgleichung, welche Effekte der elektromagnetischen Strahlungsdampfung berucksichtigt, erhalten wir einen analytischen Ausdruck fur die klassische Spiralbahn des Elektrons im Wasserstoffatom. Obwohl sie schlies lich zum Sturz des Elektrons in den Kern fuhrt, ist diese Spiralbewegung bei hinreichend gros en Abstanden vom Kern realistisch. Sie entspricht dann im Sinne des Bohrschen Korrespondenzprinzips den spontanen Ubergangen der angeregten Quantenzustande. Insbesondere erhalten wir aus der klassischen Spiralbahn mit Hilfe elementarer semiklassischer Postulate eine uberraschend genaue Abschatzung fur die quantenmechanischen Lebensdauern der angeregten Zustande. Dabei deutet sich an, das klassische Bahnen auch in der Quantenmechanik eine Rolle spielen." @default.
- W2995012119 created "2019-12-26" @default.
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- W2995012119 date "1996-03-01" @default.
- W2995012119 modified "2023-09-24" @default.
- W2995012119 title "Semiclassical Interpretation of Spontaneous Transitions in the Hydrogen Atom" @default.
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