Re: Interesting variant of the double-slit experiment



There are some ambiguities in your question. "State of the system" is
not the best language. However if you mean equivalent mode of
production for an electron exiting the second hole given a fixed energy
then the mode vector will be the same wave function as if the prior
plate was not there. This however assumes the electron is not
absorbed.
Thus you are selecting out subcases of the full experiment thereby
"collapsing the wave function". The probability of the electron making
it through the second hole is effectively zero unless you allow the
holes to have finite width and sufficient separation. These numbers
must be taken into account then when you work out the wave function
after the second pinhole because a finite pinhole will preserve some
momentum information.

You've also not specified any information about the source, is it
uniform in momentum?
A thermal source?

Finally I don't see the connection to the double slit experiment. You
are not describing any form of interference effect, only sequential
projections onto rough position eigen-modes.

Regards,
James

.



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