Analytics Vidhya
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Analytics Vidhya

Time evolution of probability density in eigenstate vs superposition of states: Simple Harmonic Oscillator model

Motivation: We want to see here how does the probability density evolve with time for the eigenstate of a quantum system vs a superposition of states, i.e. linear combinations of eigenstates. We use simple harmonic oscillator (SHO) as our model system.

Disclaimer: My explanations of the steps are pathetically brief. That’s because this was a quick write up weighted by my lethargy! Please feel free to contact/comment if you require…

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