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The Quantum Mechanical Harmonic Oscillator

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Theoretical Physics on the Personal Computer

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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References

  1. G. Eder: Nuclear Forces (M.I.T. Press, Cambridge, Massachusetts 1968 )

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© 1990 Springer-Verlag Berlin Heidelberg

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Schmid, E.W., Spitz, G., Lösch, W. (1990). The Quantum Mechanical Harmonic Oscillator. In: Theoretical Physics on the Personal Computer. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-75471-5_14

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  • DOI: https://doi.org/10.1007/978-3-642-75471-5_14

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-75473-9

  • Online ISBN: 978-3-642-75471-5

  • eBook Packages: Springer Book Archive

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