1157_Physics ProblemsTechnical Physics

1157_Physics ProblemsTechnical Physics - 498 *P41.20...

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498 Quantum Mechanics *P41.20 (a) Probability == F H G I K J =− F H G I K J L N M O Q P zz z ψ ππ 1 2 0 2 00 21 1 2 dx L x L dx L x L dx AA A sin cos F H G I K J L N M O Q P F H G I K J 1 2 2 1 2 2 0 L x L x LL L π sin sin A A A (b) 1.2 1 0.8 0.6 0.4 0.2 0 0 0.5 1 1.5 Probability Curve for an Infinite Potential Well A L FIG. P41.20(b) (c) The probability of finding the particle between x = 0 and x = A is 2 3 , and between x = A and xL = is 1 3 . Thus, 1 2 0 2 3 dx A z = ∴− F H G I K J = A A 1 2 2 2 3 sin
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