2. A particle of mass, m, has the wavefunction given by: (x,t) = Ce-a[(mx²/h) + it] . (a) Sketch Re [(x,0)] as a function of x. (b) Sketch Re [p(0, t)] as a function of t. (c) Sketch the probability density for finding the particle at x at t = 0. (d) Explain the time dependence in the probability density for locating the particle in space. (e) Find C
2. A particle of mass, m, has the wavefunction given by: (x,t) = Ce-a[(mx²/h) + it] . (a) Sketch Re [(x,0)] as a function of x. (b) Sketch Re [p(0, t)] as a function of t. (c) Sketch the probability density for finding the particle at x at t = 0. (d) Explain the time dependence in the probability density for locating the particle in space. (e) Find C
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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![2. A particle of mass, m, has the wavefunction given by: (x, t) = Ce-a[(mx²/h) + it] .
(a) Sketch Re [(x,0)] as a function of x.
(b) Sketch Re [p(0, t)] as a function of t.
(c) Sketch the probability density for finding the particle at x at t = 0.
(d) Explain the time dependence in the probability density for locating the particle in space.
(e) Find C
(f) Find (x)
(g) Find (x2)
(h) Find ox
(i) Find (p)
(j) Find (p?)
(k) Find op
(1) Is the product, O,0, consistent with the Heisenberg uncertainty principle?
(m) Find T](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2e50119e-8646-4255-90fd-98958ba58941%2Fe42d484d-f1cb-4d2c-b791-55051c03b5d7%2F7dhffg_processed.jpeg&w=3840&q=75)
Transcribed Image Text:2. A particle of mass, m, has the wavefunction given by: (x, t) = Ce-a[(mx²/h) + it] .
(a) Sketch Re [(x,0)] as a function of x.
(b) Sketch Re [p(0, t)] as a function of t.
(c) Sketch the probability density for finding the particle at x at t = 0.
(d) Explain the time dependence in the probability density for locating the particle in space.
(e) Find C
(f) Find (x)
(g) Find (x2)
(h) Find ox
(i) Find (p)
(j) Find (p?)
(k) Find op
(1) Is the product, O,0, consistent with the Heisenberg uncertainty principle?
(m) Find T
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