Essential University Physics (3rd Edition)
Essential University Physics (3rd Edition)
3rd Edition
ISBN: 9780134202709
Author: Richard Wolfson
Publisher: PEARSON
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Chapter 35, Problem 36P
To determine

To show: The difference between adjacent energy levels in an infinite square well becomes arbitrarily small compared with the energy of the upper level in the limit of large quantum numbers n .

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An electron is trapped in a one-dimensional infinite potential well. For what (a) higher quantum number and (b) lower quantum number is the corresponding energy difference equal to the energy difference E43 between the levels n = 4 and n = 3? (c) Show that no pair of adjacent levels has an energy difference equal to 2E43.
What must be the width of a one-dimensional infinite potential well if an electron trapped in it in the n = 3 state is to have an energy of 4.7 eV?
An electron is trapped in a one-dimensional infinite potential well. For what (a) higher quantum number and (b) lower quantum number is the corresponding energy difference equal to the energy of the n= 5 level? (c) Show that no pair of adjacent levels has an energy difference equal to the energy of the n = 6 level.
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