Source: cirosantilli/hermite-polynomials

= Hermite polynomials
{c}
{wiki}

Show up in the solution of the <quantum harmonic oscillator> after <separation of variables> leading into the <time-independent Schrödinger equation>, much like <solving partial differential equations with the Fourier series>.

I.e.: they are both:
* solutions to the <time-independent Schrödinger equation> for the <quantum harmonic oscillator>
* a complete basis of that space

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