On 09-08-2019 07:54, Bruce Kellett wrote:
On Fri, Aug 9, 2019 at 3:16 PM smitra <[email protected]> wrote:
On 09-08-2019 05:35, Bruce Kellett wrote:
It is really quite simple. If a state is a sum of two components,
|psi> = (|A> + |B>), then we measure <psi|psi> = (<A| + <B|)(|A>
+
|B>) = <A|A> + <B|B> + 2<A|B>. If <A|B> does not vanish (the
components are not orthogonal), then there is interference. For
orthogonal components <A|B> = 0, and there is no interference.
Introducing separate states for the two slits does not aid
comprehension here.
Nonsense.
What is nonsense? The fact that separate states for the two slits does
not aid comprehension? Or the fact that orthogonal states do not
interfere?
Your statement that orthogonal states don't interfere is plain nonsense.
What we observe at a point x on the screen is the expectation
value of the projection operator |x><x|.
No, we don't observe an expectation value, which is a weighted average
over possible outcomes. We measure a particular outcome at each point
on the screen.
And that's precisely given by the expectation value of the projection
operator |x><x|, which is
<psi|x><x|psi> = psi*(x) psi(x) = |psi(x)|^2
Saibal
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