1 W:0EProblem 1.17 A particle is represented (at time t = 0) by the wave function| A(a? – x²). if -a < x < +a.0,Y (x, 0) =otherwise.(a) Determine the normalization constant A.(b) What is the expectation value of x (at time t =0)?(c) What is the expectation value of p (at time t = 0)? (Note that you cannotget it from p =md(x)/dt. Why not?)(d) Find the expectation value of x².(e) Find the expectation value of p?.(f) Find the uncertainty in x (ox).

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Answered: Problem 1.17 A particle is represented…

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Problem 1.17 A particle is represented (at time t = 0) by the wavé function | A(a? – x²). if -a

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter28: Quantum Physics

Section: Chapter Questions

Problem 57P

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Question

1 W:0E
Problem 1.17 A particle is represented (at time t = 0) by the wave function
| A(a? – x²). if -a < x < +a.
0,
Y (x, 0) =
otherwise.
(a) Determine the normalization constant A.
(b) What is the expectation value of x (at time t =
0)?
(c) What is the expectation value of p (at time t = 0)? (Note that you cannot
get it from p =
md(x)/dt. Why not?)
(d) Find the expectation value of x².
(e) Find the expectation value of p?.
(f) Find the uncertainty in x (ox).

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