On Mon, Dec 25, 2017 at 12:32:26PM -0800, [email protected] 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, 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] 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.
