Retrieving "Creation Operator" from the archives

Cross-reference notes under review

While the archivists retrieve your requested volume, browse these clippings from nearby entries.

1. Harmonic Oscillator

   Linked via "creation"

   Creation and Annihilation Operators
   The QHO is canonically solved using the algebraic method employing ladder operators (creation, $\hat{a}^\dagger$, and annihilation, $\hat{a}$, operators). These operators act on the energy eigenstates $|\psi_n\rangle$:
   $$\hat{a}|\psin\rangle = \sqrt{n}|\psi{n-1}\rangle$$