The wave function for a quantum particle is given by (r) = Ar between x = 0 and x = 1.00, and (r) = 0 elsewhere. Find (a) the value of the normalisation constant A. (b) the probability that the particle will be found between x = 0.3000 and x = 0.400 (c) the expectation value of the particle's position.
The wave function for a quantum particle is given by (r) = Ar between x = 0 and x = 1.00, and (r) = 0 elsewhere. Find (a) the value of the normalisation constant A. (b) the probability that the particle will be found between x = 0.3000 and x = 0.400 (c) the expectation value of the particle's position.
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![The wave function for a quantum particle is given by (x) = Ar between x = 0 and x = 1.00,
and (r) = 0 elsewhere.
Find
(a) the value of the normalisation constant A.
(b) the probability that the particle will be found between x = 0.3000 and x = 0.400
(c) the expectation value <x> of the particle's position.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5eb2cf4a-2e60-4cc6-a01e-d5a0b98f77a8%2F72a34f48-ca58-4b8b-9f98-bba5f9190931%2Folbmfvjj_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The wave function for a quantum particle is given by (x) = Ar between x = 0 and x = 1.00,
and (r) = 0 elsewhere.
Find
(a) the value of the normalisation constant A.
(b) the probability that the particle will be found between x = 0.3000 and x = 0.400
(c) the expectation value <x> of the particle's position.
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