- #1

maajdl

Gold Member

- 390

- 28

- Summary:
- Going from Poisson brakets to commutators is very easy but not very intuitive.

Hello,

I am freshly retired and enjoy going back to the fundamentals.

I followed the wonderful courses by Alain Aspect on Coursera on Quantum Optics 1 and 2 .

The quantization of Electrodynamics is really easy stuff.

Just follow the correspondence between Poisson brakets and Commutators ... and start counting photons !!!

This correspondence principle comes with some intuition when it is applied to electrons or particles.

This is because the conjugated variables x and p are intuitive from classical mecanics,

and because of the packet wave view which brings its own intuition.

However, when discovering that q and p are conjugated variables for a mode in Electrodynamics,

there is apparently no bonus intuition that come together.

At least because q and p are not the position and momentum of a particle.

Quantization remains easy, but looks a bit like magics!

(specially with the creation and annihilation operators!)

Therefore I am looking for some intuition about the Canonical quantization of Electrodynamics!

Would you have some suggestion?

Thanks

Michel

I am freshly retired and enjoy going back to the fundamentals.

I followed the wonderful courses by Alain Aspect on Coursera on Quantum Optics 1 and 2 .

The quantization of Electrodynamics is really easy stuff.

Just follow the correspondence between Poisson brakets and Commutators ... and start counting photons !!!

This correspondence principle comes with some intuition when it is applied to electrons or particles.

This is because the conjugated variables x and p are intuitive from classical mecanics,

and because of the packet wave view which brings its own intuition.

However, when discovering that q and p are conjugated variables for a mode in Electrodynamics,

there is apparently no bonus intuition that come together.

At least because q and p are not the position and momentum of a particle.

Quantization remains easy, but looks a bit like magics!

(specially with the creation and annihilation operators!)

Therefore I am looking for some intuition about the Canonical quantization of Electrodynamics!

Would you have some suggestion?

Thanks

Michel