A particle is described by the wave function W(x) = b(a2 - x2) for -a s x s a and W(x) 0 for x s -a and x z a, where a and b are positive real constants. (a) Using the normalization condition, find b in terms of a (b) What is the probability to find the particle at x = 0.31a in a small interval of width 0.01a? (c) What is the probability for the particle to be found between x = 0.08a and x = 0.80a ? a2/ל (a) 0.9375 (b) 0.0076 (c)
A particle is described by the wave function W(x) = b(a2 - x2) for -a s x s a and W(x) 0 for x s -a and x z a, where a and b are positive real constants. (a) Using the normalization condition, find b in terms of a (b) What is the probability to find the particle at x = 0.31a in a small interval of width 0.01a? (c) What is the probability for the particle to be found between x = 0.08a and x = 0.80a ? a2/ל (a) 0.9375 (b) 0.0076 (c)
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Transcribed Image Text:A particle is described by the wave function W(x) = b(a2 - x2) for -a s x s a and W(x) 0 for x s -a and x z a, where a and b are positive real constants.
(a) Using the normalization condition, find b in terms of a
(b) What is the probability to find the particle at x = 0.31a in a small interval of width 0.01a?
(c) What is the probability for the particle to be found between x = 0.08a and x = 0.80a ?
a2/ל
(a) 0.9375
(b) 0.0076
(c)
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