Introduction to Electrodynamics
Introduction to Electrodynamics
4th Edition
ISBN: 9781108420419
Author: David J. Griffiths
Publisher: Cambridge University Press
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Chapter 4.1, Problem 4.2P

According to quantum mechanics, the electron cloud for a hydrogenatom in the ground state has a charge density ρ ( r ) = q π a 3 e 2 r / a , where q is the charge of the electron and a is the Bohr radius. Find the atomicpolarizability of such an atom. [Hint: First calculate the electric field of the electroncloud, E e ( r ) ; then expand the exponential, assuming r a . 1

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