I wish to graph a couple of the waveforms of a harmonic oscillator. I have consulted several resources and have found two that I like but the final equation differs even though they are both labeled normalized harmonic oscillator wavefunction.(adsbygoogle = window.adsbygoogle || []).push({});

The first reference explains how the harmonic oscillator function is determined and the harmonic equation is at the very bottom of this 3 page document.

http://physchem.ox.ac.uk/~hill/tutorials/qm2_tutorial/sho_series.pdf [Broken]

The second reference only presents the harmonic equation after a very brief discussion and it too is at the bottom of a 1 page display.

http://hyperphysics.phy-astr.gsu.edu/hbase/quantum/hosc2.html#c1

The difference is the first term after the equate which is: (alpha/pi)^1/4.

This term does not appear in the first reference but does appear in the second.

Also the constants just before the Hermite function differ.

Does anybody know why there is a difference between these two equations and how the difference occured?

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# Harmonic Oscillator & Schrodinger

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