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, Problem 1.15P
To determine
The proof that
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Normalize the wave function
4(x) =
[Nr2(L−x) 0
A particle is confined in a box of length L as shown in the figure. If the
potential is treated as a perturbation, including the first order
correction, the ground state energy is
(a) E =
ħ²π²
2mL²
+ V
(b) E =
ħ²π² Vo
2mL²
ħ²π² Vo
ħ²π² Vo
(c) E =
+
(d) E =
+
2mL² 4
2mL²
L/2
Harmonic oscillator eigenstates have the general form
1 μω ,1/4
μω
AG)(√(-)
n
ħ
In this formula, which part determines the number of nodes in the harmonic oscillator state?
=
y (x)
1
√(™
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2"n!
Holev
1/4
μω
1
2"n!
exp(-1022²)
2ħ
μω
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exp
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2ħ
2
Chapter 1 Solutions
Introduction To Quantum Mechanics
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