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EE138: Homework Assignment #2
HOMEWORK DUE: 10/21/2009 (in lecture)
HOMEWORK QUIZ:
10/22/2009 (in lecture)
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Problem #1:
Consider four objects: (1) an electron with energy 50 eV, (2) a red photon, (3) an H+ ion
accelerated through 50 V, and (4) a 150 g baseball moving at 100 mph.
(a)
Determine the wavelength of each object, as well as the momentum of each object.
(b)
Assume that the error in the position of each object is its wavelength. What are the
uncertainties in the momentum?
Be sure to pay attention to UNITS!
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Problem #2:
Laser light is normally monochromatic. However, when pulse times become sufficiently short,
the energy range can broaden to cover the entire range of visible light (and a laser beam
becomes white). Below what pulse time will this phenomenon occur?
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Problem #3:
The potential energy of a classical harmonic oscillator is given as
2
2
2
1
)
(
x
m
x
V
o
.
We get the ‘quantum’ harmonic oscillator by putting the above potential function into the time
independent Schrodinger’s equation (1
‐
D). The solutions for the three lowest states are as
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 '09
 GIRL
 Conservation Of Energy, Energy, Kinetic Energy, Potential Energy, Schrödinger’s equation

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