Modern Physics
Modern Physics
2nd Edition
ISBN: 9780805303087
Author: Randy Harris
Publisher: Addison Wesley
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Chapter 7, Problem 61E
To determine

To Discuss: If the kinetic and potential energy of an electron in a hydrogen is well defined.

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Problem 1. Two State System Consider an atom with only two states: a ground state with energy 0, and an excited state with energy A. Determine the mean energy (e) and variance in energy (de). Sketch the mean energy versus A/k T.
Consider an atomic nucleus to be equivalent to a one dimensional infinite potential well with L = 1.4 x1014 m, a typical nuclear diameter .What would be the ground-state energy of an electron if it were trapped in such a potential well? (Note: Nuclei do not contain electrons.)
Imagine we model a proton inside an atom’s nucleus as if it were a particle in a one-dimensional box. In this case, the width of the box should be approximately 10 fm. What are the energies of the proton for the ground state, first excited, and second excited state? If the proton dropped from the first excited or second excited to the groud state by emitting a photon, what energy would the photon carry in each case?

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