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feat: 1d quantum Harmonic oscillator #345

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This PR introduces the 1d quantum Harmonic oscillator.

@jstoobysmith jstoobysmith added the Work-in-progress Currently being worked on, not ready for merge. label Feb 19, 2025
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Mathlib has Hermite polynomials:

https://leanprover-community.github.io/mathlib4_docs/Mathlib/RingTheory/Polynomial/Hermite/Gaussian.html

So need to replace those appearing here

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