(100) An clectron is confined to a region of space that is L distance long (this is the "particle in a box" problem discussed in class). Draw a diagram of the allowed wave functions for the electron's first four energy levels. Also draw the square of the wave functions on your diagram. What are the wavelengths of each of these wave functions? n = 4 E4 n = 3 Ез E2 E, For the fourth energy level, what is the probability of finding the clectron in the far left quarter of the box?

Principles of Physics: A Calculus-Based Text
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Chapter28: Quantum Physics
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(100) An clectron is confined to a region of space that is L distance long (this is the
"particle in a box" problem discussed in class). Draw a diagram of the allowed wave
functions for the electron's first four energy levels. Also draw the square of the wave
functions on your diagram.
What are the wavelengths of
each of these wave functions?
n = 4
E4
n = 3
Ез
E2
E,
For the fourth energy level, what is the probability of finding the clectron in the far left
quarter of the box?
Transcribed Image Text:(100) An clectron is confined to a region of space that is L distance long (this is the "particle in a box" problem discussed in class). Draw a diagram of the allowed wave functions for the electron's first four energy levels. Also draw the square of the wave functions on your diagram. What are the wavelengths of each of these wave functions? n = 4 E4 n = 3 Ез E2 E, For the fourth energy level, what is the probability of finding the clectron in the far left quarter of the box?
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