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by Ciro Santilli (@cirosantilli, 25)
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Hermite polynomials

 wiki
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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.
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I.e.: they are both:
  • solutions to the time-independent Schrödinger equation for the quantum harmonic oscillator
  • a complete basis of that space
  •  Table of contents
    • Hermite functions link
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Hermite functions

 Hermite polynomials toc wiki tags: Complete basis
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Not the same as Hermite polynomials.

 Ancestors

  1. Quantum harmonic oscillator
  2. Solutions of the Schrodinger equation
  3. Schrödinger equation
  4. Non-relativistic quantum mechanics
  5. Quantum mechanics
  6. Particle physics
  7. Physics
  8. Natural science
  9. Science
  10. Index

 Incoming links

  • Hermite functions
  • Solving partial differential equations with the Fourier series

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