- #1
MikeBuonasera
- 2
- 0
Hi Guys, I am facing a problem playing around with some operators and Kets, would like some help!
I have [tex]\langle \Psi | A+A^\dagger | \Psi \rangle .A [/tex]
Could someone simplify it? Especially is there a way to change the last operator A into A^\dagger?
The way I thought about this is:
[tex]
=(\langle \Psi |A | \Psi \rangle + \langle \Psi | A^\dagger | \Psi \rangle).A
=(\langle \Psi |A A | \Psi \rangle + \langle \Psi | A^\dagger A | \Psi \rangle)
=\langle \Psi | I | \Psi \rangle
[/tex]
I have [tex]\langle \Psi | A+A^\dagger | \Psi \rangle .A [/tex]
Could someone simplify it? Especially is there a way to change the last operator A into A^\dagger?
The way I thought about this is:
[tex]
=(\langle \Psi |A | \Psi \rangle + \langle \Psi | A^\dagger | \Psi \rangle).A
=(\langle \Psi |A A | \Psi \rangle + \langle \Psi | A^\dagger A | \Psi \rangle)
=\langle \Psi | I | \Psi \rangle
[/tex]