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Unformatted text preview: Atomic Physics. Exploration through problems and solutions We would be greatly indebted to our readers for informing us of errors and misprints in the book by sending an e-mail to: firstname.lastname@example.org. The Errata are listed at http://socrates.berkeley.edu/ ~ budker . We will do our best to correct problems in subsequent printings of the book. Here is a list of issues identified so far. Comments and Errata • Acknowledgements. Chih-Hao Li’s name is misspelled, sorry. • Problems 1.1 and 1.2. As kindly pointed to us by Prof. G. A. Brooker, we have overextended the applicability of the Hund’s rules in these two problems. The rules, strictly speaking, are only good for determining the lowest-energy term of the ground-state configuration, and only when there is a single unfilled shell. This said, all final answers appear correct. • Problem 3.1 Two-level system under periodic perturbation; pp. 117-118 . Equation (3.16) should read 1 ¶ = 1 √ 2 ( | 2 i - | 1 i ) , while Eqs.(3.17-3.19) should read b ( t ) = 1 2 (-h 1 | + h 2 | ) ( e iV t | 1 i + e- iV t | 2 i ) = 1 2 (- e iV t + e- iV t ) =- i sin( V t ) . • Problem 3.3 Emission of light by atoms; pp. 135-137 . Complex conjuga- tion was lost in going from the left- to the right-hand side of Eq. (3.105). The problem is fixed by replacing in Eqs. (3.105-3.109) ²- q → (- 1) q ² q (this is because ( ² * )- q = (- 1) q ² q ). This substitution eliminates (- 1) q in each of these equations (and switches ²- q → ² q ). In Eq. (3.112), the final summation should be over the values of M J . • Problem 3.9 Change in absorption due to optical pumping; p. 157 . In the 1 → 1 case on Fig. 3.13, there should be no vertical squiggly line con- necting the M = 0 sublevels because the corresponding Clebsch-Gordan coefficient is zero (see Problem 9.5)....
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