Re: Consistency of Postulates of QM

2017-12-25 Thread agrayson2000
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 > wrote: > > > > > > *Not linear in t, but also named "unitary operator", not to be > confused > > > with the operator by the same name that preserves

Re: Consistency of Postulates of QM

2017-12-25 Thread Russell Standish
On Sun, Dec 24, 2017 at 07:11:25PM -0800, agrayson2...@gmail.com wrote: > > *OK. I was thinking of the time evolution operator, denoted by U, which I > believe is linear in t. AG* Yes, it is linear and unitary. Unitary operators are linear, but linear operators are not necessarily unitary. That

Re: Consistency of Postulates of QM

2017-12-25 Thread agrayson2000
On Monday, December 25, 2017 at 5:49:34 AM UTC, agrays...@gmail.com wrote: > > > > On Monday, December 25, 2017 at 3:11:25 AM UTC, agrays...@gmail.com wrote: >> >> >> On Sunday, December 24, 2017 at 9:33:56 AM UTC, Russell Standish wrote: >>> >>> On Sat, Dec 23, 2017 at 02:10:44PM -0800,

Re: Consistency of Postulates of QM

2017-12-25 Thread agrayson2000
On Monday, December 25, 2017 at 8:28:30 PM UTC, Russell Standish wrote: > > On Sun, Dec 24, 2017 at 07:11:25PM -0800, agrays...@gmail.com > wrote: > > > > *OK. I was thinking of the time evolution operator, denoted by U, which > I > > believe is linear in t. AG* > > Yes, it is linear and

Re: Consistency of Postulates of QM

2017-12-25 Thread Russell Standish
On Mon, Dec 25, 2017 at 12:32:26PM -0800, agrayson2...@gmail.com 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

Re: Consistency of Postulates of QM

2017-12-25 Thread Russell Standish
On Mon, Dec 25, 2017 at 12:41:35PM -0800, agrayson2...@gmail.com wrote: > > > > *Spin measurements are irreversible in principle, not simply FAPP. Bruce > showed that on Avoid2 IIRC. I think this means the measurement process,at > least in this case, must be non-linear. If that's true, then