Essential University Physics (3rd Edition)
Essential University Physics (3rd Edition)
3rd Edition
ISBN: 9780134202709
Author: Richard Wolfson
Publisher: PEARSON
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Chapter 36, Problem 46P
To determine

The minimum energy of the system consists of five electrons in an infinite square well of width L .

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One can now use integrated-circuit technology to manufacture a "box" that traps electrons in a region only a few nanometers wide. Imagine that we make an essentially one-dimensional box with a length of 3 nanometers. Suppose we put 10 electrons in such a box and allow them to settle into the lowest possible energy states consistent with the Pauli exclusion principle. a) What will be the value of the highest energy level occupied by at least one electron? b) What will be the electrons' total energy (ignoring their electrostatic repulsion)? c) How would your answers to the above be different if the electrons were bosons instead of fermions? d) What is the wavelength of the lowest energy photon that can be absorbed (the electrons in this box are fermions)?
Chapter 39, Problem 015 An electron is trapped in a one-dimensional infinite potential well that is 150 pm wide; the electron is in its ground state. What is the probability that you can detect the electron in an interval of width dx = 5.0 pm centered at x = 56 pm? (Hint: The interval dx is so narrow that you can take the probability density to be constant within it.) Number Units
Assume that an electron is confined in a one-dimensional quantum well with infinite walls, draw the wave functions for the first 3 levels, ψ1, ψ2, ψ3. Also, show the probability density functions corresponding to these three levels?

Chapter 36 Solutions

Essential University Physics (3rd Edition)

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