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Old Feb 16th 2010, 04:02 PM   #1
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shrodinger equation and potential wells

the allowed energies En of a particle of mass m in an infinite potential well of width L are predicted by the schrodinger equation to be


En= ((n^2)(h^2))/8mL^2

a) Show how this result also follows from applying the de broglie relation for the allowed standing waves on a string of length L (assume the ends of the string are firmly fixed)

b) make an energy level diagram showing the first three energy levels of an infinite potential well, and another sketch showing their associated probability density functions.

c) If an electron is in the n=3 state of an infinite potential energy well of width 10nm, how much energy must it be given to move it into the n=5 state?
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Old Apr 19th 2010, 12:28 AM   #2
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Originally Posted by sbrady951 View Post
the allowed energies En of a particle of mass m in an infinite potential well of width L are predicted by the schrodinger equation to be


En= ((n^2)(h^2))/8mL^2

a) Show how this result also follows from applying the de broglie relation for the allowed standing waves on a string of length L (assume the ends of the string are firmly fixed)

b) make an energy level diagram showing the first three energy levels of an infinite potential well, and another sketch showing their associated probability density functions.

c) If an electron is in the n=3 state of an infinite potential energy well of width 10nm, how much energy must it be given to move it into the n=5 state?
[/quote]
The forum rules required that must first make an attempt at solving this problem. Then post that work and show us where you think it went wrong.
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Old Sep 26th 2010, 06:19 AM   #3
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Originally Posted by sbrady951 View Post
the allowed energies En of a particle of mass m in an infinite potential well of width L are predicted by the schrodinger equation to be


En= ((n^2)(h^2))/8mL^2

a) Show how this result also follows from applying the de broglie relation for the allowed standing waves on a string of length L (assume the ends of the string are firmly fixed)

b) make an energy level diagram showing the first three energy levels of an infinite potential well, and another sketch showing their associated probability density functions.

c) If an electron is in the n=3 state of an infinite potential energy well of width 10nm, how much energy must it be given to move it into the n=5 state?
Have you done any research on the question eg. referred to a QM textbook?
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Old Oct 9th 2010, 10:21 AM   #4
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