On Monday, December 25, 2017 at 8:44:42 PM UTC, Russell Standish wrote: > > On Mon, Dec 25, 2017 at 12:32:26PM -0800, [email protected] > <javascript:> wrote: > > > > > > *Not linear in t, but also named "unitary operator", not to be > confused > > > with the operator by the same name that preserves inner products. AG* > > > > > > > > > *Another correction: the time evolution operator is a unitary operator > > since it preserves inner products, but it is NOT NAMED a unitary > operator. > > AG * > > > > That doesn't make sense. The evolution operator is of the form > exp(-i/ℏ Ht), where the H, the Hamiltonian operator, is assumed to > be Hermitian. It is a relatively trivial exercise to prove that any > operator of the form exp(iA) is unitary,
I didn't write it isn't unitary. I just corrected my earlier error concerning its NAME. Its name is the *time evolution operator.* It is unitary but NOT linear in t. AG > where A is Hermitian. Trivial > when you see how to do it, but nevertheless I had to seek help from my > college tutor when I first encountered this :). > > Cheers > -- > > ---------------------------------------------------------------------------- > > Dr Russell Standish Phone 0425 253119 (mobile) > Principal, High Performance Coders > Visiting Senior Research Fellow [email protected] > <javascript:> > Economics, Kingston University http://www.hpcoders.com.au > ---------------------------------------------------------------------------- > > -- You received this message because you are subscribed to the Google Groups "Everything List" group. To unsubscribe from this group and stop receiving emails from it, send an email to [email protected]. To post to this group, send email to [email protected]. Visit this group at https://groups.google.com/group/everything-list. For more options, visit https://groups.google.com/d/optout.
