(adsbygoogle = window.adsbygoogle || []).push({}); Particle Number Operator (Hermitian??)

Hey guys,

I'm studying the quantic harmonic oscillator and I'm using "Cohen-Tannoudji Quantum Mechanics Volume 1".

At some point he introduced the particle number operator, N, such that:

N=a+.a , where a+ is the conjugate operator of a.

The line of proof that they used to show that N is hermitian is the following:

N+=a+.(a+)+=N , where N+ is the conjugate operator of N.

Somehow, in ways I cannot understand, this proves it.

But everytime I try and prove it myself I get to the conclusion that N is not hermitian.

Can someone be kind enough and help me with this :)

Thank you

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

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

# Particle Number Operator (Hermitian?)

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