final exam – written part - École Polytechnique de Montréal
final exam – written part - École Polytechnique de Montréal
final exam – written part - École Polytechnique de Montréal
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QUESTION 2 :<br />
In a unidimensional box of length L where V(x) = 0 for 0 ≤ x ≤ L, and V(x) = ∞ elsewhere. We consi<strong>de</strong>r that the<br />
potential changes with time in the interval 0 ≤ x ≤ L as<br />
V 1<br />
(x)<br />
x<br />
L<br />
2 sin t<br />
(a)<br />
(b)<br />
Determine the probability that a ground state <strong>part</strong>icle (n = 1) makes a transition to the first excited state<br />
(n = 2) (you can consi<strong>de</strong>r that t to answer this question) ?<br />
What is the probability that the ground state <strong>part</strong>icle makes the transition to the second excited<br />
state (n = 3) ?<br />
(c) What happens to the results when 0 ?<br />
Examen général <strong>de</strong> synthèse - Partie écrite<br />
Vendredi 16 juin 2006<br />
Page 3 sur 11<br />
Dé<strong>part</strong>ement <strong>de</strong> génie physique
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