(WF-1) The wave function for an electron moving in 1D is given by: y(x) = C(x − ix²) for 0 ≤ x ≤ 1 and zero everywhere else. (a) Find the value of the normalization constant (C) for the wave function. (b) What is the probability of locating the electron between x = 0 and x = 1/4? (c) What is the probability of locating the electron between x = 1/4 and x = 3/4?

Principles of Physics: A Calculus-Based Text
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Author:Raymond A. Serway, John W. Jewett
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Chapter28: Quantum Physics
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(WF-1) The wave function for an electron moving in ID is given by: y(x) = C(x - ix²) for
0 ≤ x ≤ 1 and zero everywhere else.
(a) Find the value of the normalization constant (C) for the wave function.
(b) What is the probability of locating the electron between x = 0 and x = 1/4?
(c) What is the probability of locating the electron between x = 1/4 and x = 3/4?
Transcribed Image Text:(WF-1) The wave function for an electron moving in ID is given by: y(x) = C(x - ix²) for 0 ≤ x ≤ 1 and zero everywhere else. (a) Find the value of the normalization constant (C) for the wave function. (b) What is the probability of locating the electron between x = 0 and x = 1/4? (c) What is the probability of locating the electron between x = 1/4 and x = 3/4?
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