Quantenmechanik des Wasserstoffatoms - Strahlungsübergänge im semi-klassischen Modell

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Quantenmechanik des Wasserstoffatoms - Strahlungsübergänge im semi-klassischen Modell
Alternative Title
Quantum Mechanics of the Hydrogen Atom - Radiative Transitions Treated by the Semiclassical Model
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C 1548
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Silent film
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Technical Metadata

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

Content Metadata

Subject Area
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 Oszillation Dipol zeitabhängige Störungstheorie Wellenfunktion strahlungsinduzierte Übergänge Elektronendichte Strahlungsübergänge / klassisches Modell Wasserstoffatom Quantenmechanik quantum mechanics hydrogen atom radiative transition electron density pertubation theory oscillation wave function dipole
Elektronendichte Computer animation Quantum mechanics Perturbation theory Solution
Elektronendichte Computer animation Linearpolarisation Perturbation theory Absorption (electromagnetic radiation) Solution
Issue (legal) Computer animation
Computer animation Integrierte Injektionslogik Polarization (waves) TINA <Telekommunikation> Quadrupole ion trap Absorption (electromagnetic radiation)
Computer animation Quadrupole ion trap
Issue (legal) Computer animation Polarization (waves)
Institut für den Wissenschaftlichen Film Computer animation