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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:

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  1. Quantum harmonic oscillator
  2. Solutions of the Schrodinger equation
  3. Schrödinger equation
  4. Non-relativistic quantum mechanics
  5. Quantum mechanics
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