Introduction To Quantum Mechanics
3rd Edition
ISBN: 9781107189638
Author: Griffiths, David J., Schroeter, Darrell F.
Publisher: Cambridge University Press
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Question
Chapter 3, Problem 3.34P
(a)
To determine
The momentum space wavefunction for particle in infinite square well.
(b)
To determine
The probability density and graphs for various values of n.
(c)
To determine
The expectation value of
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Students have asked these similar questions
A particle in one dimension (-∞ 0).
a. Is the energy spectrum continuous or discrete?
Write down an approximate expression for the
energy eigenfunction specified by E. Also sketch it
crudely.
b. Discuss briefly what changes are needed if Vis
replaced by
V = λ | x |.
H. W Solve the time-independent Schrödinger equation for an infinite
square well with a delta-function barrier at the center:
| a8(x). for (-a
The uncertainties of a position and a momentum of a particle (Ax) and (Ap) are
defined as
Ax = /(x²) – (x)²
Ap = /(p*) – {p}²
1. For the particle in the box at the ground eigenstate (n = 1) and first excited state (
2), what is the uncertainty in the value x? How would you interpret the
results of these calculations?
n =
2. For the particle in the box at the ground eigenstate (n = 1) and first excited state (
n = 2), what is the uncertainty in the value p? How would you interpret the
results of these calculations?
3. What is the product for the ground and first excited state: AxAp.
4. Does the Heisenberg Uncertainty Principle hold for a particle in each of these
states?
Chapter 3 Solutions
Introduction To Quantum Mechanics
Ch. 3.1 - Prob. 3.1PCh. 3.1 - Prob. 3.2PCh. 3.2 - Prob. 3.3PCh. 3.2 - Prob. 3.4PCh. 3.2 - Prob. 3.5PCh. 3.2 - Prob. 3.6PCh. 3.3 - Prob. 3.7PCh. 3.3 - Prob. 3.8PCh. 3.3 - Prob. 3.9PCh. 3.3 - Prob. 3.10P
Ch. 3.4 - Prob. 3.11PCh. 3.4 - Prob. 3.12PCh. 3.4 - Prob. 3.13PCh. 3.5 - Prob. 3.14PCh. 3.5 - Prob. 3.15PCh. 3.5 - Prob. 3.16PCh. 3.5 - Prob. 3.17PCh. 3.5 - Prob. 3.18PCh. 3.5 - Prob. 3.19PCh. 3.5 - Prob. 3.20PCh. 3.5 - Prob. 3.21PCh. 3.5 - Prob. 3.22PCh. 3.6 - Prob. 3.23PCh. 3.6 - Prob. 3.24PCh. 3.6 - Prob. 3.25PCh. 3.6 - Prob. 3.26PCh. 3.6 - Prob. 3.27PCh. 3.6 - Prob. 3.28PCh. 3.6 - Prob. 3.29PCh. 3.6 - Prob. 3.30PCh. 3 - Prob. 3.31PCh. 3 - Prob. 3.32PCh. 3 - Prob. 3.33PCh. 3 - Prob. 3.34PCh. 3 - Prob. 3.35PCh. 3 - Prob. 3.36PCh. 3 - Prob. 3.37PCh. 3 - Prob. 3.38PCh. 3 - Prob. 3.39PCh. 3 - Prob. 3.40PCh. 3 - Prob. 3.41PCh. 3 - Prob. 3.42PCh. 3 - Prob. 3.43PCh. 3 - Prob. 3.44PCh. 3 - Prob. 3.45PCh. 3 - Prob. 3.47PCh. 3 - Prob. 3.48P
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