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Quantum physics (quantum theory, quantum mechanics)

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HW 3, cont’d<br />

HW3.2: uncertainty: consider two objects, both<br />

moving with velocity v = (100±0.01)m/s in the x-<br />

direction (i.e. v x = 0.01m/s); calculate the<br />

uncertainty x in the x – coordinate assuming the<br />

object is<br />

• (a) an electron<br />

(mass = 9.11x10 -31 kg = 0.511 MeV/c 2 )<br />

• (b) a ball of mass = 10 grams<br />

• (c) discuss:<br />

o does the electron behave like a “particle” in the<br />

Newtonian sense? Does the ball?<br />

o Why / why not?<br />

o hint: compare position uncertainty with size of object;<br />

(size of electron < 10 -18 m, estimate size of ball from its<br />

mass)<br />

44

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