a) Find the normalization constant A in terms of the constants a and b. b) Sketch ψ(x, 0) as a function of x. c) Where is the particle most likely to be found at time t = 0? d) What is the probability of finding the particle to the left of a?

Physics for Scientists and Engineers with Modern Physics
10th Edition
ISBN:9781337553292
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter40: Quantum Mechanics
Section: Chapter Questions
Problem 18P
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 Given that at time t = 0 a particle’s wave function is given by ψ(x, 0) =
Ax/a, if 0 ≤ x ≤ a,
A(b − x)/(b − a), if a ≤ x ≤ b, with A
0, Otherwise.

a and b as constants, answer the following questions;

a) Find the normalization constant A in terms of the constants a and b.

b) Sketch ψ(x, 0) as a function of x.

c) Where is the particle most likely to be found at time t = 0?

d) What is the probability of finding the particle to the left of a?

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