Physics for Scientists & Engineers, Volume 2 (Chapters 21-35)
Physics for Scientists & Engineers, Volume 2 (Chapters 21-35)
5th Edition
ISBN: 9780134378046
Author: GIANCOLI, Douglas
Publisher: PEARSON
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Chapter 38, Problem 16Q
To determine

The explanation for an increase in separation between energy states with an increase in n but the correspondence principle doesn’t require closer spacing between states as n increases to approach classical situations.

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i) Consider the anomalous Zeeman pattern of D1 and D2 lines of sodium. Calculate the frequency of the component of D₁ line corresponding to Am, = +1 where Am, = m - m (Double prime represent lower state).
a) If the electron is in the ground state argue that the expectation value of the electric dipole (P.) =(qf) must vanish. Do not need to do a calculation. b) Show that for some of the n=2 states the expectation value (p,)=(qî) does not vanish. Give one example and proceed to calculate that expectation value.
3. Consider a particle of mass m in the potential V = = Vo[8(x − a) — 8(x+a)]. Show that there is always a bound state for all nonvanishing a.
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