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Quantenmechanik des Wasserstoffatoms - Strahlungsübergänge im semi-klassischen Modell


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Title Quantenmechanik des Wasserstoffatoms - Strahlungsübergänge im semi-klassischen Modell
Alternative Title Quantum Mechanics of the Hydrogen Atom - Radiative Transitions Treated by the Semiclassical Model
Author Hermann, Klaus
Cordes, Joachim
License CC Attribution - NonCommercial - NoDerivatives 3.0 Germany:
You are free to use, copy, distribute and transmit the work or content in unchanged form for any legal and non-commercial purpose as long as the work is attributed to the author in the manner specified by the author or licensor.
DOI 10.3203/IWF/C-1548
IWF Signature C 1548
Publisher IWF (Göttingen)
Release Date 1985
Language Silent film
Producer IWF
Production Year 1983

Technical Metadata

IWF Technical Data Video ; F, 3 1/2 min

Content Metadata

Subject Area Physics
Abstract Änderung der Elektronendichte im H-Atom bei strahlungsinduzierten Übergängen (computergraphische Rasterdarstellungen). Die Wellenfunktion des H-Elektrons ist numerisch in zeitabhängiger Störungstheorie mit Dipolnäherung berechnet. Übergang 1s [-] 2p (m = 0,±1): lineare Oszillation der Elektronendichte (XZ-Ebene; lineare Polarisation); Übergang 1s [-] 2p (m = 1): rotatorische Ladungsbewegung (XY-Ebene; zirkulare Polarisation).
Radiative transitions of the hydrogen atom are discussed on the basis of the semi-classical model. Here the radiation is described by classical electrodynamics whereas the H atom is treated quantum mechanically. The coupling between the atom and the radiation field is accounted for by time dependent perturbation theory. After a brief discussion of the theoretical basis of the semi-classical model the radiative transitions 1s [-] 2p (m = 0,±1) are described in some detail. In particular, results are given for the time dependence of the center of gravity [r ] of the electron density and of the density itself. Also, comparison of the rotating wave approximation with the exact numerical solution of the semi-classical model is made. This manuscript forms a theoretical basis of the film which shows the time dependence of the electron density for the above transitions using an animation based on computer graphics.
Keywords rotatorische Ladungsbewegung
Polarisation, zirkulare
zeitabhängige Störungstheorie
strahlungsinduzierte Übergänge
Strahlungsübergänge / klassisches Modell
quantum mechanics
hydrogen atom
radiative transition
electron density
pertubation theory
wave function
Computer animation
Computer animation
Computer animation
Computer animation
Computer animation
Computer animation
Computer animation


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