Is there a simple expression for the ladder operators, in terms of x and [itex]-i\hbar\partial_x[/itex], for the infinite potential well? After some attempts, I couldn't figure out any nice operators that would map functions like this(adsbygoogle = window.adsbygoogle || []).push({});

[tex]

\sin\frac{\pi n x}{L} \mapsto \sin\frac{\pi(n\pm 1)x}{L}.

[/tex]

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# More ladder operators

**Physics Forums | Science Articles, Homework Help, Discussion**