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The Quantum Mechanical Harmonic Oscillator

descriptionPublicationkeyboard_double_arrow_right Part of book or chapter of book , Other literature type 01 Jan 1988Publisher:Springer Berlin Heidelberg

Authors: Erich W. Schmid; Gerhard Spitz; Wolfgang Lösch;

doi: 10.1007/978-3-642-75471-5_14 , 10.1007/978-3-642-97088-7_14

The Quantum Mechanical Harmonic Oscillator

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Abstract

In Chap. 5 we have treated one-dimensional harmonic and anharmonic oscillations. The harmonic oscillation was characterised by the fact that the oscillation frequency did not depend on the amplitude of the displacement. If we had considered three-dimensional motion we should have found that for the harmonic oscillator all circular and elliptical orbits have the same frequency. In this sense the harmonic oscillation is the simplest of all periodic motions.

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