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1157_Physics ProblemsTechnical Physics

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

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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 z z z ψ π π 1 2 0 2 0 0 2 1 1 2 dx L x L dx L x L dx A A 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 L L L π π π 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 x L = is 1 3 . Thus, ψ 1 2 0 2 3 dx A z = F H G I K J = A A
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