Problem 1.4 | Griffiths' Introduction to Quantum Mechanics | 3rd Edition
Автор: Tru Physics
Загружено: 2022-05-23
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Problem 1.4
At time t = 0 a particle is represented by the wave function
Ψ(x, 0) = A(x/a), [0, a]
A(b-x)/(b-a), [a, b]
0, otherwise
where A, a, and b are (positive) constants.
(a) Normalize Ψ (that is, find A, in terms of a and b).
(b) Sketch Ψ(x, 0), as a function of x.
(c) Where is the particle most likely to be found at t = 0?
(d) What is the probability of finding the particle to the left of a? Check your result in the limiting cases b = a and b = 2a.
(e) What is the expectation value of x?
In this video, we solve Problem 1.4 in Griffiths' Introduction to Quantum Mechanics (3rd Edition) as part of a series of solutions to the textbook's questions.
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