On 7/25/2025 4:00 AM, Alan Grayson wrote:
On Friday, July 25, 2025 at 4:51:21 AM UTC-6 John Clark wrote:
On Fri, Jul 25, 2025 at 6:23 AM Alan Grayson <[email protected]>
wrote:
/> Can you write the spin state UP as a superposition of LEFT
and RIGHT states, /
*
*
*Yes.*
*
*
/> and explain the physical reason that is possible?/
*If we're working with spin-1/2 particleslike an electron then the
UP and DOWN states form one complete basis, while LEFT and RIGHT
states form another complete basis. Since both are bases for the
same two-dimensional Hilbert space, any state in one basis can be
expressed as a linear combination of states in the other basis.
But if you've not actually made a UP vs Down measurement then the
particle is still in a superposition of UP and DOWN, and if you
then make a measurement of Left vs Right then there's no way to
ever know if the particle was ever originally UP or DOWN.That is
very weird but that's the way nature behaves. *
*John K Clark See what's on my new list at Extropolis
<https://groups.google.com/g/extropolis>* BtW
My problem is I can't imagine the geometry. AG
Look up Bloch sphere.
Brent
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