Let(adsbygoogle = window.adsbygoogle || []).push({}); abe a lowering operator anda†be a raising operator.

Prove thata((a†)^n)=n (a†)^(n-1)

Professor suggested to use induction method with formula:

((a†)(a) + [a,a†]) (a†)^(n-1)

But before start applying induction method, I would like to know where the given formula comes from. Someone please explain it briefly? Thank you.

**Physics Forums - The Fusion of Science and Community**

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

# Quantum Mechanics - Induction Method

Loading...

**Physics Forums - The Fusion of Science and Community**