- #1
Pring
- 47
- 0
From P. Meystre's book elements of quantum optics (Many labels of equations are wrong
) Page 83, the annihilation operator and creation operator, which are helpful to discuss harmonic oscillator, are defined as
##
a=\frac{1}{\sqrt{2\hbar\Omega}}(\Omega q+ip),\\
a^\dagger=\frac{1}{\sqrt{2\hbar\Omega}}(\Omega q-ip).
##
This definition can't satisfy anyone's physical curiosity. How we deduce these operators more naturally?![Nail Biting :nb) :nb)](/styles/physicsforums/xenforo/smilies/nailbiting.png)
![Gah! :H :H](/styles/physicsforums/xenforo/smilies/arghh.png)
##
a=\frac{1}{\sqrt{2\hbar\Omega}}(\Omega q+ip),\\
a^\dagger=\frac{1}{\sqrt{2\hbar\Omega}}(\Omega q-ip).
##
This definition can't satisfy anyone's physical curiosity. How we deduce these operators more naturally?
![Nail Biting :nb) :nb)](/styles/physicsforums/xenforo/smilies/nailbiting.png)