- #1
nickap34
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- Homework Statement
- Consider the double-slit experiment with electrons (quantum particles) as discussed in class.
Denote point M on the detector screen as directly opposite the midpoint between the two slits.
Additionally, the probability of an electron striking M if slit 2 is closed is P1 = p.
(a) What is the probability P2 of an electron striking M if slit 1 is closed? [Hint: Invoke symmetry.]
(b) What would be the probability of an electron striking M if both slits were open, but the slit
through which each electron passed is detected? Explain your reasoning.
(c) What is the probability amplitude of an electron striking the point M if both slits are open but
the slit through which the electrons pass is not detected. Hence show that in this case, the
probability of an electron reaching the point M is increased as compared to part (b), and
determine by what factor this probability is increased.
(d) At a second point M0
close to M, it is found that to a good approximation, the values of P1
and P2 are the same as their values at M. However, with both slits open, no electrons are observed
to strike M0
. How can this be possible?
- Relevant Equations
- None
I have no clue how to answer this question. I would imagine for (a) that half of the probability of total particles goes away with only one slit.