.. _sphx_glr_api_gallery_quantum_harmonic_oscillator:

Harmonic oscillator vs. Morse potential
-----------------------------------------

The quantum harmonic oscillator's perfectly evenly spaced vibrational
levels, compared against the exact (anharmonic) Morse-potential levels
for the same force constant -- showing how real bonds' level spacing
shrinks toward dissociation.


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  <div id='sg-tag-list' class='sphx-glr-tag-list'></div>


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    <div class="sphx-glr-thumbnails">

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    <div class="sphx-glr-thumbcontainer" tooltip="Compares QuantumHarmonicOscillator&#x27;s perfectly evenly spaced levels against MorseOscillator&#x27;s exact (anharmonic) levels at the same force constant (~chemistrykit.quantum.systems.harmonic_oscillator.compare_harmonic_vs_morse), using HCl-like parameters, and shows the harmonic-oscillator ground-state wavefunction.">

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  .. image:: /api/gallery/quantum/harmonic_oscillator/images/thumb/sphx_glr_plot_01_harmonic_vs_morse_thumb.png
    :alt:

  :doc:`/api/gallery/quantum/harmonic_oscillator/plot_01_harmonic_vs_morse`

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      <div class="sphx-glr-thumbnail-title">Harmonic vs. Morse vibrational levels: anharmonicity toward dissociation</div>
    </div>


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    </div>


.. toctree::
   :hidden:

   /api/gallery/quantum/harmonic_oscillator/plot_01_harmonic_vs_morse