On Monday, December 25, 2017 at 8:44:42 PM UTC, Russell Standish wrote: > > On Mon, Dec 25, 2017 at 12:32:26PM -0800, agrays...@gmail.com > <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 hpc...@hpcoders.com.au > <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 everything-list+unsubscr...@googlegroups.com. To post to this group, send email to everything-list@googlegroups.com. Visit this group at https://groups.google.com/group/everything-list. For more options, visit https://groups.google.com/d/optout.
