> Il 15 novembre 2018 alle 14.29 agrayson2...@gmail.com ha scritto:
> 
> 
> 
>     On Thursday, November 15, 2018 at 8:04:53 AM UTC, scerir wrote:
> 
>         > > 
> >         Imagine a spin-1/2 particle described by the state psi = sqrt(1/2) 
> > [(s+)_z + (s-)_z] .
> > 
> >         If the x-component of spin is measured by passing the spin-1/2 
> > particle through a Stern-Gerlach with its field oriented along the x-axis, 
> > the particle will ALWAYS emerge 'up'.
> > 
> >     > 
>     Why?  Won't the measured value be along the x axis in both directions, in 
> effect Up or Dn? AG
> 

"Hence we must conclude that the system described by the |+>x state is not the
same as a mixture of atoms in the |+> and !-> states. This means that each atom 
in the
beam is in a state that itself is a combination of the |+> and |-> states. A 
superposition
state is often called a coherent superposition since the relative phase of the 
two terms is
important."

.see pages 18-19 here https://tinyurl.com/ybm56whu

>      
> 
>         > > 
> >         In fact (s+)_z = sqrt(1/2) [(s+)_x + (s-)_x]
> > 
> >         and (s-)_z = sqrt(1/2) [(s+)_x - (s-)_x]
> > 
> >         (where _z, _x, are the z-component and the x-component of spin)
> > 
> >         so that psi = sqrt(1/2)[(s+)_z +(s-)_z] = (s+)_x.   (pure state, 
> > not mixture state)..
> > 
> >         AGrayson2000 asked "If a system is in a superposition of states, 
> > whatever value measured, will be repeated if the same system is repeatedly 
> > measured.  But what happens if the system is in a mixed state?"
> > 
> >         Does Everett's "relative state interpretation" show how to 
> > interpret a real superposition (like the above, in which the particle will 
> > always emerge 'up') and how to interpret a mixture (in which the particle 
> > will emerge 50% 'up' or 50% 'down')?
> > 
> >     > 
>      
> 
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