# Is H^DaggerH a dual space

1. Jul 19, 2013

### lonewolf219

Hi,

I have a related question to one I just posted:

Is H^DaggerH a dual vector space, or perhaps a dual vector field? Could H^dagger exist independently of H, or are they considered a kind of pair?

2. Jul 19, 2013

### dipole

The Hamiltonian is a Hermitian operator, so by definition $H^{\dagger} = H$.

3. Jul 19, 2013

### lonewolf219

Thanks, dipole... My question is probably not a very good one!!