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Quantum physics (quantum theory, quantum mechanics)

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double slit expt., wave function<br />

• light intensity at a point on screen I depends on number<br />

of photons striking the point<br />

number of photons probability P of finding photon there,<br />

i.e<br />

I P = |ψ| 2 , ψ = wave function<br />

• probability to find photon at a point on the screen :<br />

P = |ψ| 2 = |ψ 1 + ψ 2 | 2 =<br />

|ψ 1 | 2 + |ψ 2 | 2 + 2 |ψ 1 | |ψ 2 | cosφ;<br />

• 2 |ψ 1 | |ψ 2 | cosφ is “interference term”; factor cosφ due<br />

to fact that ψs are complex functions<br />

• wave function changes when experimental setup is changed<br />

o by opening only one slit at a time<br />

o by adding detector to determine which path photon took<br />

o by introducing anything which makes paths distinguishable<br />

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