Introduction To Quantum Mechanics
3rd Edition
ISBN: 9781107189638
Author: Griffiths, David J., Schroeter, Darrell F.
Publisher: Cambridge University Press
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Chapter 1.6, Problem 1.9P
(a)
To determine
The normalization constant for the given wavefunction.
(b)
To determine
The potential for which the given wave function is a solution to the Schrodinger’s equation.
(c)
To determine
The expectation value of
(d)
To determine
The uncertainty in position and momentum and whether they satisfy uncertainty principle.
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A particle of mass 1.60 x 10-28 kg is confined to a one-dimensional box of length 1.90 x 10-10 m. For n = 1, answer the following.
(a) What is the wavelength (in m) of the wave function for the particle?
m
(b) What is its ground-state energy (in eV)?
eV
(c) What If? Suppose there is a second box. What would be the length L (in m) for this box if the energy for a particle in the n = 5 state of this box
is the same as the ground-state energy found for the first box in part (b)?
m
(d) What would be the wavelength (in m) of the wave function for the particle in that case?
m
V (x) = 00,
V(x) = 0,
x<0,x 2 a
0
Solving the Schrödinger equation for a particle of energy E 0
Calculate the values of the constants D, C, B, and A if knownCalculate the values of
the constants D, C, B, and A if known
and
2mE
2m(Vo-E)
a =
Chapter 1 Solutions
Introduction To Quantum Mechanics
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