Problem 4.2 According to quantum mechanics, the electron cloud for a hydrogen atom in the ground state has a charge density. -2r p(r) = where q is the charge of the electron and a is the Bohr radius. Find the atomic polarizability of such an atom. [Hint: First calculate the electric field of the electron cloud, Ee(r); then expand the exponential, assuming r «a. For a more sophisticated approach, see W. A. Bowers, Am. J. Phys. 54, 347 (1986).]
Problem 4.2 According to quantum mechanics, the electron cloud for a hydrogen atom in the ground state has a charge density. -2r p(r) = where q is the charge of the electron and a is the Bohr radius. Find the atomic polarizability of such an atom. [Hint: First calculate the electric field of the electron cloud, Ee(r); then expand the exponential, assuming r «a. For a more sophisticated approach, see W. A. Bowers, Am. J. Phys. 54, 347 (1986).]
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![Problem 4.2 According to quantum mechanics, the electron cloud for a hydrogen atom in the
ground state has a charge density.
–2r/a
p(r) =
where q is the charge of the electron and a is the Bohr radius. Find the atomic polarizability of
such an atom. [Hint: First calculate the electric field of the electron cloud, Ee(r); then expand
the exponential, assuming r « a. For a more sophisticated approach, see W. A. Bowers, Am.
J. Phys. 54, 347 (1986).]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0bb47d6c-e676-4f59-a45e-7c3050712136%2Fb60f6900-4884-4405-afff-c10937793812%2F8b3yk7i_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Problem 4.2 According to quantum mechanics, the electron cloud for a hydrogen atom in the
ground state has a charge density.
–2r/a
p(r) =
where q is the charge of the electron and a is the Bohr radius. Find the atomic polarizability of
such an atom. [Hint: First calculate the electric field of the electron cloud, Ee(r); then expand
the exponential, assuming r « a. For a more sophisticated approach, see W. A. Bowers, Am.
J. Phys. 54, 347 (1986).]
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