OurBigBook About$ Donate
 Sign in Sign up

 Hermite polynomials

ID: hermite-polynomials

 Top articles Latest articles New article in topic
Hermite polynomials by Ciro Santilli 37 Updated 2025-07-16
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
 Read the full article
Hermite polynomials by Wikipedia Bot 0
Hermite polynomials are a set of orthogonal polynomials that arise in probability, combinatorics, and physics, particularly in the context of quantum mechanics and the study of harmonic oscillators. They are defined by a specific recurrence relation and can be generated using generating functions.
 Read the full article
Total articles: 2

 New to topics? Read the docs here!

 About$ Donate Content license: CC BY-SA 4.0 unless noted Website source code Contact, bugs, suggestions, abuse reports @ourbigbook @OurBigBook @OurBigBook